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, ...

Respuesta :

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, ...

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