Question

Help with math again *10 pts* asap

Answer 1

`a_n=2n+5`

Explanation:

we have the sequence

`7,9,11,...`

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this term is called a common difference

Let

`a_1=7\\a_2=9\\a_3=11`

we know that

`a_2-a_1=9-7=2` ---->
`a_2=a_1+2`

`a_3-a_2=11-9=2` ---->
`a_3=a_2+2`

The common difference is 2

This is an arithmetic sequence

The general formula for an arithmetic sequence is

`a_n=a_1+d(n-1)`

where

d is the common difference

n is the number of terms

substitute the given values

`a_n=7+2(n-1)`

`a_n=7+2n-2`

`a_n=2n+5`