JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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p=\sum\limits_{{n=0}}^{\infty} x^n, q=\sum\limits_{{n=0}}^{\infty} y^n, r=\sum\limits_{{n=0}}^{\infty}(x y)^n

, (where

|x|,|y| < 1

) then which of the following is true?

View answer and explanation

Correct option: B

p q+r=p r+q r

Option B (

p q+r=p r+q r

) is correct because substituting the series representations of p, q, and r and simplifying leads to the equality.

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