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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If a+b1−ab,b,b+c1−bc\frac{{a + b}}{{1 - ab}},b,\frac{{b + c}}{{1 - bc}} are in A.P., then a,1b,ca,\frac{1}{b},c are in
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Correct option: C
H.P.
Option C (H.P.) is correct because the given condition leads to the relationship 2b=1a+1c2b = \frac{1}{a} + \frac{1}{c}, which defines a harmonic progression for a,1b,ca, \frac{1}{b}, c.

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