Question 5 Find f(4) for the recursive function if f(n) is defined recursively by ƒ(n + 1) = f(n) + 3ƒ(n − 1), ƒ(0) = −1, ƒ(1) = 2 A Question 6 Given the sequence defined recursively by a0 = 2 and for any integer n > 1 Find a 3. an = (n+1)an-1 AJ = 3 and for any integer n ≥ 1 Question 7 Given the sequence defined recursively by a an = 2an-1-5 Find a 3.

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Q: 2. The Fibonacci sequence (fn) := 0, 1, 1, 2, 3, 5, 8, . is an example of a recursive sequence with…

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Q: 7. Every sequence of real numbers has a decreasing subsequence. nondecreasing subse- quence or a

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Q: 5. (i) Determine the sequence gnerated by the following generating functions: (ii) e(1+x) t (1-1)³

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Q: 40. Which of the following functions can be used to find the nth term of the sequence 6, 11, 16, 21,…

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Q: 22. Write a proof sequence for the following assertion. Justify each step. (pvq) v (pvr) ← -- →→…

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A: Given a1=12 and an+1=12+an, n&gt;1 First of all, we will write the first 10 terms in the given…

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