Answer :

This can also be written as

=

=

=

Sum of a G.P. series is represented by the formula, , when r≠1. ‘S_{n}’ represents the sum of the G.P. series upto n^{th} terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms.

a =

r = (ratio between the n term and n-1 term)

n terms

∴

⇒

⇒

⇒

∴

(ii) If we divide and multiply the terms by (x-y)

=

=

=

Sum of a G.P. series is represented by the formula, , when r≠1. ‘S_{n}’ represents the sum of the G.P. series upto n^{th} terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms.

Here,

a = x^{2}, y^{2}

r = (ratio between the n term and n-1 term) x, y

n terms

∴

⇒

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