Question

A recursion formula for a sequence is tn 2tn-14, t₁ = 4. Which
of the following accurately shows the sequence of numbers?
1)4, 2, 0, -2, -4, …
2)4, 8, 12, 16, 20, …
3)4, 8, 16, 32, 64, …
4)4, 4, 4, 4, 4, …

Answers

  1. The recursion formula that accurately shows the sequence of number is 4, 8, 16, 32, 64, …

    Recursive functions

    Given the following recursive function expressed as;
    tn = 2tn-1  and t₁ = 4.
    For the second term
    t2 = 2t1
    t2 = 2(4) = 8
    For the third term
    t3 =2t2
    t3 = 2(8)
    t3 = 16
    Hence the recursion formula that accurately shows the sequence of number is 4, 8, 16, 32, 64, …
    Learn more on recursive function here: https://brainly.com/question/11316313
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