Home
Class 11
MATHS
The product of first n(odd) terms of a G...

The product of first n(odd) terms of a G.P. whose middle term is m is

A

mn

B

`m^n`

C

`n^m`

D

none of these.

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the product of first 'n' terms of a G.P., whose first term is ‘a’ and last term is ‘l’ , is (al)^(n/2) .

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

The product of first three terms of a G.P. is 1000. If we add 6 to its second term and 7 to its 3rd term, the three terms form an A.P. Find the terms of the G.P.

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is 1/r^n .

The sum of n terms of an A.P. whose first term is 5 and common difference is 36 is equal to the sum of 2n terms of another A.P. whose first term is 36 and common difference is 5. Find n.

The sum of first three terms of a G.P. is 7 and the sum of their squares is 21. Determine the first five terms of the G.P.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P., and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

The sum of first three terms of a G.P. is 39/10 and their product is 1 . Find the common ratio and the terms.

We are given two G.P.'s, one with the first term 'a' and common ratio ‘r’ and the other with first term ‘b’ and common ratio ‘s’. Show that the sequence formed by the product of corresponding terms is a G.P. Find its first term and the common ratio. Show also that the sequence formed by the quotient of corresponding terms is G.P. Find its first term and common ratio.

If S_n represents the sum of n terms of a G.P. whose first term and common ratio are a and r respectively. Prove that : S_1 +S_2+S_3+.....+S_(m)= (am)/(1-r)-(ar(1-r^(m)))/((1-r)^2) .