JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

a_i \geq 0

where

i=1,2,3, \ldots \ldots n

and

\sum\limits_{{i=1}}^n a_i=20

and if the greatest possible value of

\sum\limits_{{i=1}}^{n-1} a_i\left(a_{i+1}\right)

\mathrm{S}

then

\mathrm{S}

is equal to

View answer and explanation

Correct option: A

100

Option A (100) is correct because the greatest possible value of the sum is found using the AM >= GM inequality.

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