Arithmetic and Geometric Progressions

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

If the value of Fiat car depreciated by 25 per cent annually, what will be its estimated value at the end of 8 years if its present value is $2048?

The third term of a G.P. is 2/3 and the 6th term is 2/18, find this 8th term.

The product of first and second terms of a G.P. is 256 and that of second and third terms is 16. find the 5th term.

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

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

Page 2 of 6

Arithmetic and Geometric Progressions

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 33: Arithmetic and Geometric Progressions

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

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

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

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 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...

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 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 69 : Arithmetic and Geometric Progressions

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

Problem 27: Arithmetic and Geometric Progressions

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

Problem 13: Arithmetic and Geometric Progressions

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

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 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 49: Arithmetic and Geometric Progressions

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

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 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.

E1: Which term of series

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

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 12: Arithmetic and Geometric Progressions

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

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.

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

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 44: Arithmetic and Geometric Progressions

How many terms of the G.P. 1, 4, 16, ... must be taken to have their sum equal to 341?

Problem 38: Arithmetic and Geometric Progressions

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

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 16: Arithmetic and Geometric Progressions

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

Problem 15: Arithmetic and Geometric Progressions

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

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...

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

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 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...

Arithmetic and Geometric Progressions

Arithmetic and Geometric Progressions

Our Offer Prices

Website Design & Development

Starter

Loaded

Fully Loaded

Most Reading Solutions