Question

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

Which answer is the explicit rule for the sequence 14.5, 11, 7.5, 4, 0.5, ... ?

Answer 1

This is the correct answer from the k12 test

Answer 2

Answer: (B) 18 - 3.5n

Explanation:

Given the sequence {14.5, 11, 7.5, 4, 0.5} we can see that the first term (a₁) is 14.5 and the difference (d) is -3.5

`\text{The general formula for the explicit rule of an arithmetic sequence is:}\\a_n=a_1+d(n-1)\\\text{So,}\ a_n=14.5-3.5(n-1)\\.\qquad =14.5-3.5n+3.5\\.\qquad =18-3.5n`