JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

x=\sum\limits_{n=0}^{\infty} a^n, y=\sum\limits_{n=0}^{\infty} b^n, z=\sum\limits_{n=0}^{\infty}(a b)^n

, where

a, b<1

, then

View answer and explanation

Correct option: B

x z+y z=x y+z

Option B (

x z+y z=x y+z

) is correct because it is derived from the relationships between x, y, and z, which are sums of infinite geometric series involving a and b.

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