Mathematics Exam > Mathematics Questions > The sequence {1, 0,1, 0,1, 0,...} isa) increa...
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The sequence {1, 0,1, 0,1, 0,...} is
- a)increasing sequence
- b)decreasing sequence
- c)monotonic sequence
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The sequence {1, 0,1, 0,1, 0,...} isa) increasing sequenceb) decreasin...
Explanation:
The given sequence {1, 0, 1, 0, 1, 0, ...} does not fall into any of the given options: a) increasing sequence, b) decreasing sequence, or c) monotonic sequence.
Let's analyze each option in detail:
a) Increasing Sequence: An increasing sequence is a sequence in which each term is greater than or equal to the previous term. In the given sequence, the terms alternate between 1 and 0, so it does not satisfy the condition of an increasing sequence.
b) Decreasing Sequence: A decreasing sequence is a sequence in which each term is less than or equal to the previous term. Again, the given sequence does not satisfy this condition as it alternates between 1 and 0.
c) Monotonic Sequence: A monotonic sequence is a sequence that is either entirely increasing or entirely decreasing. In this case, the given sequence does not fit into either category as it alternates between 1 and 0.
Therefore, the correct answer is option 'D': None of the above.
The given sequence {1, 0, 1, 0, 1, 0, ...} does not fall into any of the given options: a) increasing sequence, b) decreasing sequence, or c) monotonic sequence.
Let's analyze each option in detail:
a) Increasing Sequence: An increasing sequence is a sequence in which each term is greater than or equal to the previous term. In the given sequence, the terms alternate between 1 and 0, so it does not satisfy the condition of an increasing sequence.
b) Decreasing Sequence: A decreasing sequence is a sequence in which each term is less than or equal to the previous term. Again, the given sequence does not satisfy this condition as it alternates between 1 and 0.
c) Monotonic Sequence: A monotonic sequence is a sequence that is either entirely increasing or entirely decreasing. In this case, the given sequence does not fit into either category as it alternates between 1 and 0.
Therefore, the correct answer is option 'D': None of the above.
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The sequence {1, 0,1, 0,1, 0,...} isa) increasing sequenceb) decreasin...
This is an oscillating sequence
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The sequence {1, 0,1, 0,1, 0,...} isa) increasing sequenceb) decreasing sequencec) monotonic sequenced) None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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