Question

1. The sum of infinite terms of a G.P. is x and on
squaring the each term of it, the sum will be y, then
the common ratio of this series is????
Find in terms of X and Y with explaination.​

Answer 1

Answer:

The sum of infinite terms of a G.P. is x, and on squaring each term of it, the sum will be y. Then what is the common ratio of this series?

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Let a be the first term and r be the common ratio

CASE 1:

X=a/1-r

=》a=x (1-r)=》a^2 =x^2 (1-r)^2

IN CASE 2:

y =a^2/1-r^2 because the first term becomes a^2 and the second term becomes a^2r^2.

Then solve both the equations you will get the value of r in terms of x and y.

Step-by-step explanation:

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