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Answered

Consider the geometric sequence:
4, 8, 16, 32, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:

a(n) = 4(2)” for n > 0
b(n) = 2(2)" for n > 1
c(n) = 4n-1 for n > 2
d(n) = 4n-2 for n > 3

Answer :

Answer: a and b

Step-by-step explanation: plug in

The function for the geometric series is Tₙ = 4 (2)ⁿ⁻¹, the correct option is A.

What is a Geometric Series?

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The geometric series is

4,8,16,32,........

The function which denotes this sequence is given by

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

r = 2

a₁ = 4

Tₙ = 4 (2)ⁿ⁻¹

To know more about Geometric Series

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