If $a, b$ and $c$ are in $\mathrm{AP}$, then $(a+2 b-c)(2 b+c-a)$ $(c+a-b)$ equals

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

a, b

and

c

are in

\mathrm{AP}

, then

(a+2 b-c)(2 b+c-a)

(c+a-b)

equals

View answer and explanation

Correct option: D

4 a b c

Option D (

4abc

) is correct because the expression simplifies to

4abc

when

2b = a + c

is substituted, given that a, b, and c are in AP.

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