What is the explicit formula for this sequence? - 8,-3,2,7, ... A. an=-8 + (n-1) (-5) B. an=-8 + (n-1) 5 C. an=12 + (n-1) 5 D. an=5 + (n-1) (-8)

an = - 8 + 5 (n-1)

Step-by-step explanation:

-8,-3,2,7

First find the common difference

Take the second term and subtract the first term

-3 - - 8 = - 3 + 8 = 5

Check with the other terms

2 - - 3 = 2+3 = 5

The common difference is 5

The formula for the arithmetic sequence is

an = a1 + d (n-1) where d is the common difference and a1 is the first term

an = - 8 + 5 (n-1)