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# 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.

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

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