Question

Help with math again *10 pts* asap

Answer 1

Answer:

$a_n=2n+5$

Step-by-step 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

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

$a_n=7+2n-2$

$a_n=2n+5$