JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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{a_1},\;{a_2},\;{a_3}...,\;{a_{20}}

are AM’s between 13 and 67, then the maximum value of

{a_1},\;{a_2},\;{a_3}...,\;{a_{20}}

is equal to

View answer and explanation

Correct option: B

{\left( {40} \right)^{20}}

Option B (

{\left( {40} \right)^{20}}

) is correct because the maximum value of the product occurs when all the arithmetic means are equal to their average.

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