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Which of the following best explains why $1, 1, 2, 3, 5, 8, \ldots$ is not an arithmetic progression?
AIts terms are not integers
BIts first term is repeated
CThe difference between consecutive terms is not constant
DIt has too many terms to be an AP
Answer & Solution
Correct answer: C. The difference between consecutive terms is not constant
In an AP, the difference between consecutive terms must be the same throughout. For $1,1,2,3,5,8,\ldots$, the differences are $0,1,1,2,3,\ldots$, which are not equal. Therefore it is not an arithmetic progression.
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