JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

a+b+c=3

and

a > 0, b > 0, c > 0

, then the greatest value of

a^2 b^3 c^2

View answer and explanation

Correct option: A

\frac{3^{10} \cdot 2^4}{7^7}

Option A (

\frac{3^{10} \cdot 2^4}{7^7}

) is correct because it represents the greatest value of

a^2 b^3 c^2

when

a+b+c=3

and

a, b, c > 0

, found using AM-GM inequality.

More Questions from SEQUENCE OF SERIES

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\frac{3}{4}