# Find an equation for the nth term of the arithmetic sequence 9, 11, 13, 15, ...

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 9, 11, 13, 15, ... is 2n + 7.

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 9, 11, 13, 15, ...

Given, \(a_{1}\) = 9, and,

d = 2

⇒ \(a_{n}\) = [a + (n - 1) d]

⇒ \(a_{n}\) = [9 + (n - 1) 2]

⇒ \(a_{n}\) = [9 + 2n - 2]

⇒ \(a_{n}\) = 2n + 7