Question

A recursive rule for an arithmetic sequence is a1=−3;an=an-1+7

Answer 1

Answer:

$a_{n}=7n-10$

Step-by-step explanation:

Givens

$a_{1}=-3\\a_{n}=a_{n-1} +7$

The formula to find the iterative rule of an arithmetic sequence is

$a_{n}=a_{1}+(n-1)d$

Where $d=7$ and $a_{1}=-3$, replacing these values, we have

$a_{n}=-3+(n-1)7\\ a_{n}=7n-7-3\\ a_{n}=7n-10$

Therefore, the right answer is the first choice: $a_{n}=7n-10$

Answer 2

C is the answer. Hope you get a good grade