JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

The value of

n

for which

\frac{{{x^{n + 1}} + {y^{n + 1}}}}{{{x^n} + {y^n}}}

is the geometric mean of

x

and

y

View answer and explanation

Correct option: A

n = - \frac{1}{2}

Option A (

n = - \frac{1}{2}

) is correct because substituting this value into the given expression and simplifying leads to the geometric mean of x and y.

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