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Let A = {1, 2, 3,...., 100} and R be a relation on A such that R = {(a, b): a = 2b + 1}. Let (a 1 , a 2 ), (a 2 , a 3 ), (a 3 , a 4 ), …, (a k , a k + 1) be a sequence of k elements of R such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer k, for which such a sequence exists, is equal to:

1. 6
2. 8
3. 5
4. 7

Correct answer: 5

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