Question

Write a function of the geometric sequence with a starting term of 8 and a common ratio of 2. Find the fourth term.

Answer 1

The expression that represents well the geometric sequence is $f(n) = 8 \cdot 2^{n-1}$ and the value of the fourth term is 64. (Correct choice: B)

How to analyze geometric sequences

Geometric sequences are exponential expressions with discrete domain, whose form is presented and explained below:

$f(n) = a \cdot r^{n-1}$, where a, r are real numbers and n is a natural number.     (1)

Where:

• Value of the starting term.
• Common ratio of the series.

According to the statement, we know that the first term of the geometric sequence is 8 and between any two consecutive terms there is a common ratio of 2. If we know that a = 8, r = 2 and n = 4, then the fourth term of the series by means of (1) is:

$f(4) = 8 \cdot 2^{4-1}$

f(4) = 8 · 8

f(4) = 64

The expression that represents the geometric sequence is $f(n) = 8 \cdot 2^{n-1}$ and the value of the fourth term is 64.

To learn more on geometric sequences: brainly.com/question/11266123

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