JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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1 + \lambda + {\lambda ^2} + ... + {\lambda ^n} = \left( {1 + \lambda } \right)\left( {1 + {\lambda ^2}} \right)\left( {1 + {\lambda ^4}} \right)\left( {1 + {\lambda ^8}} \right)\left( {1 + {\lambda ^{16}}} \right),

then the value of

n

is (where

n \in N)

View answer and explanation

Correct option: C

Option C (31) is correct because by equating the LHS and RHS after simplification, we find that n = 31.

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