Arithmetic and Geometric Progressions

If a, b, c are in A.P., and a, b, (c+1) are in G.P., show c=(a-b)²

Read more: Problem 61 : Arithmetic and Geometric Progressions

A manufacturer reckons that the value of the machine costing him $18,750 depreciates each year by 20%. Find the estimated value at the end of 5 years.

Read more: Problem 64 : Arithmetic and Geometric Progressions

Show that a given sum of money if accumulating at 20 per cent per annum more thasn doubles in 4 years at compound interest.

Read more: Problem 69 : Arithmetic and Geometric Progressions

Page 6 of 6

1
2
3
4
5
6

Arithmetic and Geometric Progressions

The Sum of three numbers in G.P. is 35 and their product is 1000. Find the numbers.

Prove that if unity is added to the sum of any number of terms of the A.P. 3, 5, 7, 9,…. The resulting sum is a perfect square.

Problem 35: Arithmetic and Geometric Progressions

Sum the following series: 1 1/2 + 2 1/4 + 3 3/8 + ------------- to 8 terms.

Problem 46: Arithmetic and Geometric Progressions

The sum of infinite terms in a G.P. is 2 and the sum of their squares is 4/3. Find the series.

Problem 39: Arithmetic and Geometric Progressions

Sum the n terms series: 0.3 + 0.03 + 0.003 + -----------.

Problem 32: Arithmetic and Geometric Progressions

In a G.P. if the (p+q)th term is m and the (p-q)th term is n, prove that the pth term is √mn

Problem 41: Arithmetic and Geometric Progressions

The sum of the first eight terms of a G.P. is five times the sum of the first four terms. Find the c...

The 4th term of an A.P. is 64 and the 54th term is -61, Show the 23rd term is 16½

Problem 15: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

Problem 16: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

Problem 13: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

Problem 49: Arithmetic and Geometric Progressions

Find three numbers in G.P. such that their sum is 130, and their product is 27,000.

Problem 38: Arithmetic and Geometric Progressions

Sum the n terms series: 2 1/2 - 1 + 2/5 - -----------.

Problem 45: Arithmetic and Geometric Progressions

The ratio of the 4th to the 12th term of a G.P. with positive common ratio is 1/256. If the differen...

Problem 25: Arithmetic and Geometric Progressions

Which term of the series 1, 2, 4, 8, ... is 256?

Problem 21: Arithmetic and Geometric Progressions

If the value of Fiat car depreciated by 25 per cent annually, what will be its estimated value at th...

Problem 31: Arithmetic and Geometric Progressions

If the mth term of a G.P. be n and the nth be m, then that the (m+n)th term is nm/m-n/mn/m-n.

Problem 64 : Arithmetic and Geometric Progressions

A manufacturer reckons that the value of the machine costing him $18,750 depreciates each year by 20...

If 10th term of an A.P. is 15 and the 15th term is 10, find the series.

Content will update later

Problem 51: Arithmetic and Geometric Progressions

Find five numbers in G.P., such that their product is 32 and the product of the last two is 108.

Problem 50: Arithmetic and Geometric Progressions

Find three numbers in G.P. such that their sum is 13/3, and the sum of their squares is 91/9.

Problem 28: Arithmetic and Geometric Progressions

If the nth term of the series 1, 2, 4, 8, .... be the same as the nth term of the series 256, 128, 6...

Problem 33: Arithmetic and Geometric Progressions

Sum the following series: 1024 + 512 + 256 + ------------- to 15 terms.

Problem 27: Arithmetic and Geometric Progressions

Find n if 1/217 is the nth term of the series 16, 8, 4, ...?

Problem 12: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

Problem 57: Arithmetic and Geometric Progressions

The sum of four numbers is GP. Is 60 and the A.M. between the first and the last is 18. Show that th...

Problem 36: Arithmetic and Geometric Progressions

Sum the following series: √2 + √6 + √18 + ------------- to 10 terms.

Problem 37: Arithmetic and Geometric Progressions

Sum the n terms series: 1/√3 + 1 + 3√3 + -----------.

E2: If a, b, c are the pth, qth and rth terms of an A.p., show that

a(q-r)+b(r-p)+c(p-q)=0

Problem 52: Arithmetic and Geometric Progressions

The continued product of three numbers in G.P. is 27, and the sum of theeir products in pairs is 39....

Problem 47: Arithmetic and Geometric Progressions

Find the infinite G.P. whose first term is 1/4 and the sum is 1/3.

E3: The pth term of an A.P. is q and the qth term is p. Show that the rth term is p+q-r and the (p+q)th term is zero

Problem 29: Arithmetic and Geometric Progressions

The 4th term of a G.P. is x, the 10th term is y and the 16th term is z. Show that xz=y2

Problem 26: Arithmetic and Geometric Progressions

Is 1/3125 a term of the series 25, 5, 1,...?

Problem 55: Arithmetic and Geometric Progressions

There are four numbers, the first three are in A.P. and the last three in G.P., the sum of the first...

Problem 60 : Arithmetic and Geometric Progressions

If a, b, c are three unequal numbers in A.P. and a, b-a, c-a are in G.P., show that a/1 = b/3 = c/5

E1: Which term of series

12+9+6+......... is equal to (i) -30, (ii) -100?

The sum of n terms of an A.P. is 2n². Find the 5th term.

Problem 48: Arithmetic and Geometric Progressions

The first term of G.P. exceeds the 2nd term by 2 and the sum to infinity is 50, find the series.

Problem 24: Arithmetic and Geometric Progressions

The product of first and second terms of a G.P. is 256 and that of second and third terms is 16. fin...

Problem 11: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

Find the 20th term of the A.P. 80, 75, 70, …. Calculate the number of terms required to make the sum equal to zero

Problem 30: Arithmetic and Geometric Progressions

The nth term of a sequence is 2.3n-1, show that it is in G.P. What is the first term and the common ...

Problem 10: Arithmetic and Geometric Progressions

Find three numbers in G.P. such that their sum is 21 and the sum of their squares is 189

Problem 42: Arithmetic and Geometric Progressions

The sum of n terms of a G.P. whose first term is one and the common ratio is 1/2, is 1 127/128, find...

Problem 40: Arithmetic and Geometric Progressions

Sum the n terms series: (a + b) + (a2 + 2b) + (a3 + 3b) + -----------.

Problem 34: Arithmetic and Geometric Progressions

Sum the following series: 1 - 1/2 + 1/4 - 1/8 + ------------- to 12 terms.

Problem 53: Arithmetic and Geometric Progressions

Three numbers whose sum is 18 are in A.P.; if 2,4,11 are added to them respectively, the resulting n...

Problem 61 : Arithmetic and Geometric Progressions

If a, b, c are in A.P., and a, b, (c+1) are in G.P., show c=(a-b)2

Problem 43: Arithmetic and Geometric Progressions

In a G.P., the sum of n terms is 255, the last term is 128 and the common ratio is 2, find n.

Our Offer Prices

Website Design & Development

Starter

$50/4 days

Responsive Web Design
Home Page Design
5 Menu & Submenu
5 Content Page Update
1 Form
SEO Submission
Joomla/Wordpress

ORDER NOW

Loaded

$100/7 days

Responsive Web Design
Home Page Design
15 Menu & Submenu
15 Content Page Update
2 Forms
SEO Submission
Joomla/Wordpress

ORDER NOW

Fully Loaded

$150/10 days

Responsive Web Design
Home Page Design
25 Menu & Submenu
25 Content Page Update
4 Forms
SEO Submission
Joomla/Wordpress

ORDER NOW

Most Reading Solutions

Problem-5: Completing the Accounting Cycle

Anya Clark opened Anya's Cleaning Service on July 1, 2019. During July, the following transactions w...

Problem-5: Adjusting the Accounts

On Nobember 1, 2019, the account balances of Hamm Equipment Repair were as follows During Novembe...

Problem-1: Completing the Accounting Cycle

The trial balance columns of the worksheet for Wareen Roofing at March 31, 2019, are as follows. Wa...

Problem-2: Accounting for Merchandising Operations

Renner Hardware Store completed the following merchandising transactions in the month of May. At the...

Problem-2: The Recording Process

Emily Valley is a licensed dentist. During the first month of the operation of her business, the fol...

Problem-1: Adjusting the Accounts

Logan Krause started her own consulting firm, Krause Consulting, on May 1, 2019. The trial balance a...

Problem-2: Adjusting the Accounts

Mac's Motel opened for business on May 1, 2019. Its trial balance before adjustment on May 31 is as ...

Problem-3: The Recording Process

Maquoketa Services was formed on May 1, 2018. The following transactions took place during the first...

Problem-5: Accounting for Merchandising Operations

The trial balance of Gaolee Fashion Center contained the following accounts at November 30, the end ...

Problem-1: Accounting in Action

On April 1, Julie Spengel established Spengel's Travel Agency. The following transactions were compl...

Problem-5: The Recording Process

The Starr Theater, owned by Meg Vargo will begin operation in March. The Starr will be unique in tha...

Problem-1: The Recording Process

Holz Disc Golf Course was opened on March 1 by Ian Holz. The following selected events and transacti...

Problem-1: Accounting for Merchandising Operations

Kern's Book Warehouse distributes hardcover looks to retail stores and extends credit terms of 2/10,...

Problem-2: Completing the Accounting Cycle

The adjusted trial balance columns of the worksheet for Thao Company, owned by D. Thao, are as follo...

Problem-5: Inventories

You are provided with the following information for Koetteritz Inc. for the month ended June 30, 201...

Problem-8: Accounting for Merchandising Operations

At the beginning of the current season on April, the ledger of Gage Pro Shop showed Cash $3,000. Inv...

Problem-2: Accounting in Action

Judi Salem opened a law office on July 1, 2018. On July 31, the balance sheet showed Cash $5,000, Ac...

Problem-10: Adjusting the Accounts

The ledger of Passehl Rental Agency on March 31 of the current year includes the selected accounts, ...

Problem-3: Accounting for Merchandising Operations

Big Box Store is located in midtown Madison. During the past several years, net income has been decl...

Problem-6: Adjusting the Accounts

Johnson Graphics Company was organized on January 1, 2019, by Cameron Johnson. At the end of the fir...

Problem-5: Plant Assets, Natural Resources and intangible Assets

At December 31, 2019, Grand Company reported the following as plant assets. During 2020, the foll...

Problem-4: Accounting in Action

Trixie Maye started her own consulting firm, Matrix Consulting, on May 1, 2018. The following transa...

Problem-3: Adjusting the Accounts

Alena Co. was organized on July 1, 2019. quarterly financial statements are prepared. The unadjusted...

Problem-4: Accounting for Merchandising Operations

Yolanda Hagen, a former disc golf star, operates Yolanda's Discorama. At the beginning of the curren...

Problem-10: Accounting for Merchandising Operations

On September 1, Nixa Office Supply had an inventory of 30 calculators at a cost of $18 each. The com...

Problem-2: Plant Assets, Natural Resources and intangible Assets

In recent years, Avery Transportation purchased three used buses. Because of frequent turnover in th...

Problem-2: Inventories

Glee Distribution markets CDs of the performing artist Unique. At the beginning of October, Glee had...

Problem-1: Accounting for Receivables

At December 31, 2018, House Co. reported the following information on its balance sheet. Accounts r...

Problem-15: Inventories

Elsa's Boards sells a snowboard, Xpert, that is popular with snowboard enthusiasts, Information rela...

Problem-4: Accounting Information Systems

Selected accounts from the chart of accounts of Mercer Company are shown below 101 Cash112 Accoun...

Problem-01: Corporations: Dividends, Retained Earnings, and Income Reporting

On January 1, 2020, Geffrey Corporation had the following stockholders equity accounts. Common St...

Problem-01: Current Liabilities and Payroll Accounting

On January 1, 2020, the ledger of Accardo Company contains the following liability accounts. Accoun...

Problem-8: Adjusting the Accounts

Devin Wolf Company has the following balances in selected accounts on December 31, 2019 All the a...

Problem-4: The Recording Process

The trial balance of Avtar Sandhu Co. Shown below does not balance AVTAR SANDHU CO.Trial BalanceJun...

Problem-8: Inventories

Dempsey Inc is a retailer operating in British Columbia. Dempsey uses the perpetual inventory method...

Problem-3: Plant Assets, Natural Resources and intangible Assets

On January 1, 2019, Evers Company purchased the following two machines for use in its production pro...

Problem-3: Accounting Information Systems

The chart of accounts of LR Company includes the following selected accounts. 112 Accounts Receiv...

Problem-02: Current Liabilities and Payroll Accounting

The following are selected transactions of Blanco Company. Blanco prepares financial statements quar...

Problem-3: Completing the Accounting Cycle

The completed financial statement columns of the worksheet for Bray Company are shown as follows. B...

Problem-4: Completing the Accounting Cycle

Vang Management Services began business on January 1, 2019, with a capital investment of $120,000. t...

Problem-3: Accounting for Receivables

Presented below is an aging schedule for Halleran Company. At December 31, 2019, the unadjusted b...

Problem-1: Accounting Information Systems

Kozma Company's chart of accounts includes the following selected accounts. 101 Cash112 Accounts ...

Problem-17: Inventories

Moath Company reports the following for the month of June. Instructions Compute the cost of en...

Problem-9: Accounting for Merchandising Operations

Information related to Kerber Co. is presented below On April 5, purchased merchandise from Wilkes ...

Problem-4: Adjusting the Accounts

A review of the ledger of Remina Company at December 31, 2019, produces the following data pertainin...

Problem-1: Job Order Costing

Lott Company uses a job order cost system and applies overhead to productions on the basis of direct...

Problem-3: Accounting in Action

On June 1, Cindy Godfrey started Divine Designs Co., a company that provides cash opportunities by i...

In a survey conducted of 2,000 clerks in an office it found that 48%preferred coffee (C), 54% liked Tea (T) and 64% used to smoke (S). Of the total 28% used C and T, 32%...

the number having all the three T and S but not C only C

Problem-01: Long-Term Liabilities

On May 1, 2019, Herron Corp. issued $600,000, 9%, 5-year bonds at face value. The bonds were dated M...

Problem-16: Plant Assets, Natural Resources and intangible Assets

Linton Company purchased a delivery truck for $34,000 on January 1, 2019. The truck has an expected ...

Completing the Accounting Cycle Adjusting the Accounts Accounting for Merchandising Operations The Recording Process Accounting in Action Inventories Plant Assets, Natural Resources, and Intangible Assets Accounting for Receivables Accounting Information Systems Corporations: Dividends, Retained Earnings, and Income Reporting Current Liabilities and Payroll Accounting Job Order Costing Sets Long-Term Liabilities

© 2025 MathLearningCentre