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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a,b,ca,b,c be in arithmetic progression, then the value of (a+2b−c)(2b+c−a)(a+2b+c)\left( {a + 2b - c} \right)\left( {2b + c - a} \right)\left( {a + 2b + c} \right) is
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Correct option: A
16abc16abc
Option A (16abc16abc) is correct because when a,b,ca, b, c are in arithmetic progression, 2b=a+c2b = a + c, which simplifies the expression to 16abc16abc.

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