Find a formula for the nth term of the arithmetic sequence: 32, 36, 40, 44, …

Solution:

A progression is a sequence of numbers that follow a specific pattern.

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

The nth term of an Arithmetic Progression is given as:

T_n = a + (n - 1)d

First term a = 36

Common difference d = 4

Substituting in the formula for the nth term, we get

T_n = 36 + (n - 1)4

= 36 + 4n - 4

= 32 + 4n

Find a formula for the nth term of the arithmetic sequence: 32, 36, 40, 44, …

Summary:

The nth term of the arithmetic sequence: 32, 36, 40, 44, … is given by T_n = 32 + 4n.