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Let an = least power of 2 that divides n. For instance, a1 = 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> is
- a)diverging to infinity
- b)bounded
- c)having a subsequene converging to 3
- d)convergent
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1,...
Would continue as follows:
a5 = 0 (since 5 is not divisible by any power of 2)
a6 = 1 (since 6 is divisible by 2)
a7 = 0 (since 7 is not divisible by any power of 2)
a8 = 3 (since 8 is divisible by 2^3)
a9 = 0 (since 9 is not divisible by any power of 2)
a10 = 1 (since 10 is divisible by 2)
a11 = 0 (since 11 is not divisible by any power of 2)
a12 = 2 (since 12 is divisible by 2^2)
and so on.
a5 = 0 (since 5 is not divisible by any power of 2)
a6 = 1 (since 6 is divisible by 2)
a7 = 0 (since 7 is not divisible by any power of 2)
a8 = 3 (since 8 is divisible by 2^3)
a9 = 0 (since 9 is not divisible by any power of 2)
a10 = 1 (since 10 is divisible by 2)
a11 = 0 (since 11 is not divisible by any power of 2)
a12 = 2 (since 12 is divisible by 2^2)
and so on.
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Community Answer
Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1,...
The correct answer is Option 2: diverging to infinity. Explanation: The sequence starts with 0, 1, 0, 2, 0, 1, 0, 3, ... and so on. We can observe that the sequence is not bounded because it keeps increasing with each term. The sequence does not converge to a specific number either. Instead, it keeps diverging to larger and larger powers of 2 as n increases. Therefore, the correct answer is that the sequence is diverging to infinity
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Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer?
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Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer?.
Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let an = least power of 2 that divides n. For instance, a1= 0, a2 = 1, a3 = 0, a4 = 2. Then, the sequence <an> isa)diverging to infinityb)boundedc)having a subsequene converging to 3d)convergentCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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