Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Answer 1

Answer:  $\bold{(A)\ a_n=7n-2}$

Step-by-step explanation:

The explicit rule for an arithmetic sequence is: $a_n=a_1+d(n-1)\quad \text{where}\ a_1\ \text{is the first term and d is the difference}$

In the sequence provided {5, 12, 19, ... }, the first term is 5 and the difference (d) is 12 - 5 = 7

$a_n=5+7(n-1)\\.\quad=5+7n-7\\.\quad=7n-2$