Question

Write an equation for the nth term of the arithmetic sequence. Then find a50.
26, 22, 18, 14, ...

Answer 1

First, we need a few things.

The first term = 26

The common difference = 22 - 26 = -4

26 - 4(n - 1) is our equation.

Let's plug 50 into n to find a50

a50 = 26 - 4(50 - 1)

a50 = 26 - 4(49)

a50 = 26 - 196

a50 = -170