# Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...

In an arithmetic sequence, the difference between any two consecutive terms is the same throughout the sequence.

## Answer: The equation for the nth term of the arithmetic sequence -3, -5, -7, -9, ...... is -2n - 1.

Let's find the nth term of the sequence.

**Explanation:**

The equation for the nth term can be found using the formula a_{n} = [a + (n - 1) d]

In the sequence -3, -5, -7, -9, ......

Given a_{1} = -3

d = a_{2 }- a_{1} = -2

⇒ a_{n} = [a + (n - 1) d]

⇒ a_{n} = [-3 + (n - 1) (-2)]

⇒ a_{n} = [- 3 - 2n + 2]

⇒ a_{n} = -2n - 1

We can use an online arithmetic sequence calculator to calculate the nth term.