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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)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider a sequence F00defined as : F00(0) = 1, F00(1) = 1 F00(n) = 10...
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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Most Upvoted Answer
Consider a sequence F00defined as : F00(0) = 1, F00(1) = 1 F00(n) = 10...
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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Community Answer
Consider a sequence F00defined as : F00(0) = 1, F00(1) = 1 F00(n) = 10...
It seems like the definition of the sequence F00 is incomplete. The definition provided only covers the first two terms of the sequence. In order to determine the value of F00(n) for any other value of n, additional information or a recursive formula is needed.
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