Find n for the sequence for which an = 37, a1 = - 13 and d = 5.

The equation for a sequence is

an=a1 + (n-1) d

Replace the variable with what you were given you get

37=-13 + (n-1) 5

Simplify

37=-13+5n-5

Combine like terms

37=5n-18

Reverse operations

55=5n

Simplify

n=11