Find the 75th term of the arithmetic sequence - 21, - 10,1, ...

a (75) = 793

Step-by-step explanation:

Arithmetic Explicit Formula: an = a1 + (n-1) d

Step 1: Find equation

d = (1 - (-10)) = 11

a1 = - 21

an = - 21 + 11 (n-1)

Step 2: Plug in 75 as n

a (75) = - 21 + 11 (75-1)

a (75) = 793

And we have our final answer!