Question

Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest

Answer 1

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

$a_n=ar^{n-1}$

Putting a=11 and r=4, we get

$a_n=(11)(4)^{n-1}$

The function notation is

$f(n)=(11)(4)^{n-1}$

Therefore, the function for the geometric sequence is $f(n)=(11)(4)^{n-1}$, where n is a positive integer.