Arithmetic and Geometric Progressions

The sum of the first three terms of the two series, one an A.P. and the other a G.P. is the same. If the first term of each of these is 2/3 and the common difference of the A.P. is equal to the common ratio of the G.P., find the sum of each series to 20 terms.

Solution

Contact us for the solution

Are you need any help? Contact Us now.

Latest Articles

Without using log tables, Find x if ½log₁₀ (11+4√7) = log₁₀ (2+X)

Why should banks be concerned about their level of profitability and exposure to risk?

Why may a trial balance not contain up-to-date and complete financial information?

Why do accrual basis financial statements provide more usual information than cash-basis statements?

Who are internal users of accounting data? How does accounting provide relevant data to these users?

Who are external users of accounting data? How does accounting provide relevant data to these users?

Which accounts are most important and which are least important on the asset side of a bank's balance sheet?

What uses of financial accounting information are made by investors and creditors?

What sum should be paid for an annuity of $2,400 for 20 years at 4½% compound interest p.a.?

What is the purpose of a trial balance?

What is the present value of Rs. 10,000 due in 2 years at 8% p.a., C.I. according as the interest is paid (a) yearly or (b) half-yearly?

What is the present value of $1000 due in 2 years at 5% p.a. compound interest, according as the interest is paid (a) yearly or (b) half yearly?

What is the monetary unit assumption?

What is the economic entity assumption?

What is the basic accounting equation?

What is the accounting cycle?

What is business Risk?

What is accounting? What are the basic activities of accounting?

What is account?

What is a trial balance?

What is a ledger?

What do you mean by Accrual vs. cash basis accounting?

What are the steps in the recording process?

What are the principal accounts that appear on a bank's balance sheet (Report of Condition)?

What are the limitations of a trial balance?

What are off-balance-sheet items and why are they important to some financial firms?

What accounts are most important on the liability side of a bank's balance sheet?

The vertices of a triange ABC are A(2, 3), B(5, 7) and C(-3, 4). D, E, F are respectively the midpoints of BC, CA and AB. Prove that

The total cost y, for x units of a certain product consists of fixed cost and the variable cost(proportional to the number of unit produced). It is know that th...

The total cost y, for x units of a certain product consists of fixed cost and the variable cost. It is know that the total cost is Rs. 6000 for 500 units and Rs...

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

The sum of the pay of two lectures is Rs. 1600 per month. If the pay of one lecture be decreased by 9% and the pay of the second be increased by 17% their pays...

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

The speed of a boat in still water is 10 km per hour. If it can travel 24 km downstream and 14 km in the upstream in equal time, indicate the speed of the flow...

The points (3, 4), and (-2, 3) from with another point (x, y) an equilateral triangle. Find x and y.

The demand and supply equations are 2p²+ q²=11 and p+2q=7. Find the equilibrium price and quantity, where p stands for price and q stands for quantity.

The cost of a machine is $100,000 and its effective life is 12 years. If the scrap realizes only $5,000, what amount should be retained out of profits at the en...

The annual subscription for the membership of a club is $25 and a person may become a life member by paying $1000 in a lump sum. Find the rate of interest charg...

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

Suppose that a bank holds cash in its vault of $1.4 million, short-term government securities of $12.4 million, privately issued money market instruments of $5....

Simplify ½log₁₀ 25 - 2log₁₀ 3 + log₁₀ 18

Show that the triangle whose vertices are (1, 10), (2, 1) and (-7, 0) are an isosceles triangle. Find the altitude of this triangle

Show that the points A(1, -1), B(-1, 1) and C(-√3, -√3) are the verticies of equilateral triangle

Show that the points (6,6), (2,3) and (4,7) are the vertices of a right-angled triangle.

Show that Log2+16Log(16/15)+12Log(25/24)+7Log(81/80) = 1

Seven persons sit in a row. Find the total number of searing arrangements, if

Prove that the triangle with vertices at the points (0, 3), (-2, 1) and (-1, 4) are right angled.

Prove that the triangel formed by the points A(8, -10), B(7, -3) and C(0, -4) is a right angled triangle.

Prove that the quadrilateral with vertices (2, -1), (3,4), (-2, 3) and (-3, -2) is a rhombus.

Prove that the points (4,3), (7,-1) and (9,3) are the vertices of an isoscales triangle.

« »

Copyright © 2024 All rights reserved.