Consider a sequence F00 defined as :
F00(0) = 1, F00(1) = 1
F00(n) = 10 ∗ F00(n – 1) + 100
F00(n – 2) for n ≥ 2
Then what shall be the set of values of the sequence F00 ?
(A) (1, 110, 1200)
(B) (1, 110, 600, 1200)
(C) (1, 2, 55, 110, 600, 1200)
(D) (1, 55, 110, 600, 1200)
Answer: (A)
Explanation:
F00(0) = 1, F00(1) = 1 F00(n) = 10 ∗ F00(n – 1) + 100 F00(2) = 10 * F00(1) + 100 = 10 * 1 + 100 = 10 + 100 = 110 Similarly: F00(3) = 10 * F00(2) + 100 = 10 * 110 + 100 = 1100 + 100 = 1200 The sequence will be (1, 110, 1200).
So, (A) will be the answer.
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