Let b_i > 1 for i = 1, 2, …, 101. Suppose log_e b_1, log_e b_2, …, log_e b_101 are in AP with the common difference log_e 2. Suppose a_1, a_2, …, a_101 are in AP such that a_1 = b_1 and a_51 = b_51. If t = b_1 + b_2 + … + b_51 and s = a_1 + a_2 + … + a_51, then

Let b_i > 1 for i = 1, 2, …, 101. Suppose log_e b_1, log_e… — JEE Main 2016 Mathematics PYQ

JEE Advanced 2016

Let

b_i > 1

for

i = 1, 2, \ldots, 101

. Suppose

\log_e b_1, \log_e b_2, \ldots, \log_e b_{101}

are in AP with the common difference

\log_e 2

. Suppose

a_1, a_2, \ldots, a_{101}

are in AP such that

a_1 = b_1

and

a_{51} = b_{51}

. If

t = b_1 + b_2 + \ldots + b_{51}

and

s = a_1 + a_2 + \ldots + a_{51}

, then

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Correct option: B

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