JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

\left| x \right| < 1

and

\left| y \right| < 1,

the sum to infinity of the sequence

x + y,\left( {{x^2} + xy + {y^2}} \right),\left( {{x^3} + {x^2}y + {y^3}} \right), \ldots ,

View answer and explanation

Correct option: A

\frac{{x + y - xy}}{{1 - x - y + xy}}

Option A (

\frac{{x + y - xy}}{{1 - x - y + xy}}

) is correct because it represents the sum to infinity of the given sequence under the conditions

|x| < 1

and

|y| < 1

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