Question

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

Answer 1

a(75) = 793

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!