3. Consider the sequence of numbers defined by the recurrence relation An = 4(an-1 – an-2), with initial terms a1 = 2 and a2 = 4. Find az through a6. What pattern do you see?

Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: Find the first four terms of the following recursively defined sequence. b-1+ 7k, for each integer k…

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Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

A:

Q: Given the sequence rn, defined recursively below, find r4.   r 1 = - 1 rn - rn-1 + n - 1

A: Given  r 1 = - 1 rn - rn-1 + n - 1=0

Q: For the sequence {an} defined recursively by a₁ = 1, a2 = 1, An+2 an+2 +an+1 for n > 2 Write a 44

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Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term