Question

In May, Janina measured her hair to be 17 inches long. She is growing her hair out and knows that hair grows at a rate of 0.5 inches per month

Which of the following sequences expresses the length of Janina's hair after n months?
a1= 17
An+1 = 20n
a1= 17
2n+1 = 0.05
a1= 17
an+1 = 0.52n
a1 = 17
an+1 = an +0.5

Answer 1

a1 = 17

an+1 = an +0.5

Explanation:

Let

n ----> the number of months

A ---> the length of Janina's hair

we know that

The linear equation in slope intercept form is equal to

`A=mn+a_1`

where

m is the slope or unit rate

a_1 is the initial value or y-intercept

In this problem we have

`m=0.5\ in/month`

`a_1=17\ in`

substitute

`A=0.5n+17`

This equation can be expressed as

`a_n_+_1=a_n+0.5n`

where

`a_1=17`