Let b i > 1 for i = 1, 2, ..., 101. Suppose log e b 1 , log e b 2 , ...., log e b 101 are…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Let bi > 1 for i = 1, 2, ..., 101. Suppose logeb1, logeb2, ...., logeb101 are in arithmetic progression (A.P.) with the common difference loge2. Suppose a1, a2, ..., a101 are in A.P. such that a1 = b1 and a51 = b51. If
t = b1 + b2 + ... + b51 and s = a1 + a2 + ... + a51, then
t = b1 + b2 + ... + b51 and s = a1 + a2 + ... + a51, then
- s > t and a101 > b101
- s > t and a101 < b101
- s < t and a101 > b101
- s < t and a101 < b101
Answer
(B) s > t and a 101 b 101
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