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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If nn geometric means be inserted between aa and bb, then the nnth geometric mean will be
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Correct option: C
a(ba)nn+1a{\left( {\frac{b}{a}} \right)^{\frac{n}{{n + 1}}}}
Option C (a(ba)nn+1a{\left( {\frac{b}{a}} \right)^{\frac{n}{{n + 1}}}}) is correct because it represents the nth geometric mean when n geometric means are inserted between a and b.

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