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The sequence log a, log a2/b, loga3/b2, ....... is
- a)a G.P.
- b)an A.P.
- c)a H.P.
- d)both a G.P. and a H.P
Correct answer is option 'B'. Can you explain this answer?
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The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a...
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The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a...
Explanation:
The given sequence is: log a, log a^2/b, log a^3/b^2, ...
Let's analyze the terms of the sequence to determine the pattern.
Term 1: log a
Term 2: log a^2/b = log a^2 - log b = 2log a - log b
Term 3: log a^3/b^2 = log a^3 - log b^2 = 3log a - 2log b
Term 4: log a^4/b^3 = log a^4 - log b^3 = 4log a - 3log b
From the above analysis, we can observe the following:
- The coefficient of log a increases by 1 in each term.
- The coefficient of log b decreases by 1 in each term.
This pattern indicates that the given sequence is an Arithmetic Progression (A.P.) because the difference between consecutive terms of the sequence is constant.
In an A.P., the difference between consecutive terms is called the common difference. In this case, the common difference is 1.
Therefore, the correct answer is option 'B' - an A.P.
The given sequence is: log a, log a^2/b, log a^3/b^2, ...
Let's analyze the terms of the sequence to determine the pattern.
Term 1: log a
Term 2: log a^2/b = log a^2 - log b = 2log a - log b
Term 3: log a^3/b^2 = log a^3 - log b^2 = 3log a - 2log b
Term 4: log a^4/b^3 = log a^4 - log b^3 = 4log a - 3log b
From the above analysis, we can observe the following:
- The coefficient of log a increases by 1 in each term.
- The coefficient of log b decreases by 1 in each term.
This pattern indicates that the given sequence is an Arithmetic Progression (A.P.) because the difference between consecutive terms of the sequence is constant.
In an A.P., the difference between consecutive terms is called the common difference. In this case, the common difference is 1.
Therefore, the correct answer is option 'B' - an A.P.
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The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer? for 2025 is part of preparation. The Question and answers have been prepared according to the exam syllabus. Information about The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer?.
The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer? for 2025 is part of preparation. The Question and answers have been prepared according to the exam syllabus. Information about The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sequence log a, log a2/b, loga3/b2, ....... isa)a G.P.b)an A.P.c)a H.P.d)both a G.P. and a H.PCorrect answer is option 'B'. Can you explain this answer?.
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