Question

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

Answer 1

Answer:  $\bold{(D)\ a_n=52-5n}$

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 given sequence {47, 42, 37, 32, ... }, the first term $(a_1)$ is 47 and the difference (d) is 42 - 47 = -5

$a_n=47-5(n-1)\\.\quad=47-5n+5\\.\quad=52-5n$

Answer 2

For the sequence you are subtracting 5 from it. Because 32 + 5 =37, 37+5 = 42,. 42+ 5 = 47. so you are subtracting 5 from it. so from the problem, it would be one of the last two.