Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, …

Solution:

Given, the arithmetic sequence is -20, -16, -12, -8,.....

We have to find the equation for the nth term of the arithmetic sequence.

The n-th term of the arithmetic sequence is given by

\(a_{n}=a+(n-1)d\)

Here, a = -20

Common difference, d = -16 - (-20)

= -16 + 20

d = 4

Now, \(a_{n}=-20+(n-1)4\)

\(\\a_{n}=-20+4n-4\\a_{n}=4n-24\)

Therefore, the equation of the n-th term is \(a_{n}=4n-24\)

Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, …

Summary:

An equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, …is \(a_{n}=4n-24\).