Question

IM BEGGING YOU, IF YOU SEE THIS PLEASE TRY AND ANSWER IT!!! BRAINLIEST WOULD BE ALL YOURS!

Answer 1

Answer:

$\displaystyle a_n=8+9(n-1)$

Correct option: C]

Step-by-step explanation:

Arithmetic Sequences

Each term in an arithmetic sequence is obtained as the previous term plus a constant number called the common difference. The general term is

$\displaystyle a_n=a_1+(n-1).r$

We are given this information

$\displaystyle a_1=8\ ,\ a_7=62$

Replacing those values in the formula

$\displaystyle 62=8+(7-1).r$

Solving for r

$\displaystyle r=\frac{62-8}{6}=\frac{54}{6}=9$

$\displaystyle r=9$

The general term is, then

$\displaystyle a_n=8+(n-1)9$

Or equivalently

$\displaystyle a_n=8+9(n-1)$

Correct option: C]