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Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1,  loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then   (JEE Adv. 2016)
  • a)
    s > t and  a101> b101
  • b)
    s > t and a101 < b101
  • c)
    s < t and  a101 > b101
  • d)
    s < t and a101 < b101
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., ...
logc b1, logc b2,----, logcb101 are in A.P.
⇒ b1, b2,---- b101 are in G.P.
Also a1, a2,---- a101 are in A.P. where a1 = b1 are a51 = b51.
∴ b2, b3,---,b50 an d GM’s and a2, a3,----, a50 are AM’s between b1 and b51.
∵ GM < AM ⇒ b2 < a2, b3 < a3,----, b50 < a50
∵ b1 + b2 +----+ b51 <  a1 + a2 +----+ a51
⇒ t < s Also a1, a51, a101 are in AP b1, b51, b101 are in GP
∵ a1 = b1 and a51 = b51
∴ b101 > a101
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Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., ...
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Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer?
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Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let bi > 1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, ...., loge b101 are in Arithmetic Progression (A.P.) with the common difference loge 2. Suppose a1, a2, ...., a101 are in A.P. such that a1= b1 and a51= b51. If t= b1+b2 + .... + b51 and s= a1+a2+ .... + a53, then (JEE Adv. 2016)a)s > t and a101> b101b)s > t and a101 < b101c)s < t and a101 > b101d)s < t and a101 < b101Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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