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Which of the following is a power of 2 sequence?
- a)1, 2, 4, 8, 16
- b)1, 3, 9, 27, 81
- c)1, 2, 3, 5, 8
- d)2, 4, 6, 8, 10
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is a power of 2 sequence?a)1, 2, 4, 8, 16b)1, 3...
Understanding Power of 2 Sequence
Power of 2 refers to numbers that can be expressed as 2 raised to an integer exponent. For example, 2^0 = 1, 2^1 = 2, 2^2 = 4, and so forth.
Analyzing the Options
- Option A: 1, 2, 4, 8, 16
- 1 = 2^0
- 2 = 2^1
- 4 = 2^2
- 8 = 2^3
- 16 = 2^4
- This sequence consists of powers of 2.
- Option B: 1, 3, 9, 27, 81
- This sequence represents powers of 3 (3^0, 3^1, 3^2, 3^3, 3^4).
- Not a power of 2 sequence.
- Option C: 1, 2, 3, 5, 8
- This sequence does not consistently follow a power of 2. While 1 (2^0), 2 (2^1), and 8 (2^3) are powers of 2, the numbers 3 and 5 are not.
- Not a power of 2 sequence.
- Option D: 2, 4, 6, 8, 10
- This sequence includes even numbers but does not only consist of powers of 2. For example, 6 and 10 are not powers of 2.
- Not a power of 2 sequence.
Conclusion
The correct answer is Option A: 1, 2, 4, 8, 16 because every number in this sequence is a power of 2, confirming its validity as a power of 2 sequence.
Power of 2 refers to numbers that can be expressed as 2 raised to an integer exponent. For example, 2^0 = 1, 2^1 = 2, 2^2 = 4, and so forth.
Analyzing the Options
- Option A: 1, 2, 4, 8, 16
- 1 = 2^0
- 2 = 2^1
- 4 = 2^2
- 8 = 2^3
- 16 = 2^4
- This sequence consists of powers of 2.
- Option B: 1, 3, 9, 27, 81
- This sequence represents powers of 3 (3^0, 3^1, 3^2, 3^3, 3^4).
- Not a power of 2 sequence.
- Option C: 1, 2, 3, 5, 8
- This sequence does not consistently follow a power of 2. While 1 (2^0), 2 (2^1), and 8 (2^3) are powers of 2, the numbers 3 and 5 are not.
- Not a power of 2 sequence.
- Option D: 2, 4, 6, 8, 10
- This sequence includes even numbers but does not only consist of powers of 2. For example, 6 and 10 are not powers of 2.
- Not a power of 2 sequence.
Conclusion
The correct answer is Option A: 1, 2, 4, 8, 16 because every number in this sequence is a power of 2, confirming its validity as a power of 2 sequence.
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Community Answer
Which of the following is a power of 2 sequence?a)1, 2, 4, 8, 16b)1, 3...
The power of 2 sequence involves multiplying 2 repeatedly: 1, 2, 4, 8, 16, 32, etc.
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Which of the following is a power of 2 sequence?a)1, 2, 4, 8, 16b)1, 3, 9, 27, 81c)1, 2, 3, 5, 8d)2, 4, 6, 8, 10Correct answer is option 'A'. Can you explain this answer?
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