Find an equation for the nth term of the arithmetic sequence. -1, 2, 5, 8, …

Solution:

A sequence where the difference between each successive pair of terms is the same is called an Arithmetic sequence.

The general rule of arithmetic sequence is

a_n = a₁ + (n - 1)d

Where a₁ - first term

d - common difference

n - number of terms

It is given that

a₁ = -1

d = 2 + 1 = 3

Substituting it in the formula

a_n = -1 + (n - 1) 3

Therefore, the equation for the nth term is a_n = -1 + (n - 1) 3.

Find an equation for the nth term of the arithmetic sequence. -1, 2, 5, 8, …

Summary:

The equation for the nth term of the arithmetic sequence -1, 2, 5, 8, … is a_n = -1 + (n - 1) 3.