# Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, …

**Solution:**

Given, the series is -15, -6, 3, 12,........

The first term, a = -15

Common difference, d = -6 - (-15)

d = -6 + 15

d = 9

We have to find an equation for the n-th term of the given arithmetic sequence.

The n-th term of an arithmetic sequence is given by aₙ = a + (n - 1)d

So, a_{n} = -15 + (n - 1)(9)

a_{n} = -15 + 9n - 9

a_{n} = 9n - 24

Therefore, the equation of n-th term of the sequence is a_{n} = 9n - 24.

## Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, …

**Summary:**

An equation for the n-th term of the arithmetic sequence -15, -6, 3, 12,..... is a_{n} = 9n - 24.

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