Write a recursive and explicit formula for the following arithmetic sequences-5,-2,1,4

You are adding three to the last term to get to the next one.

a = - 5

d = 3

Explicit Formula

tn = a + (n - 1) * d

Example

t4 = - 5 + (4 - 1) * 3

t4 = - 5 + 3*3

t4 = - 5 + 9

t4 = 4 which is exactly what you show.

Recursive formula

f (n) = f (n - 1) + 3

Example

n = 5

f (5) = f (4) + 3

f (5) = 4 + 3

f (5) = 7