What is the equation for the nth term?

{eq}-2, 1, 6, 13, 22, 33, 46. {/eq}

## Question:

What is the equation for the nth term?

{eq}-2, 1, 6, 13, 22, 33, 46. {/eq}

## Nth Term

Nth term is a very important tool to find out the next term in sequence or even further down the sequence.

For example, if the equation is {eq}a_n = n^2 + 1 {/eq} and you are asked to find the 100th term. All you need t do is substitute 100 into the {eq}n {/eq} to get {eq}(100)^2 + 1 = 10,001 {/eq}.

## Answer and Explanation: 1

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View this answerWe are given the sequence {eq}-2, 1, 6, 13, 22, 33, 46 {/eq} and we are asked to find the equation for the nth term.

First, we have to see the...

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Chapter 21 / Lesson 4Learn the Arithmetic sequence formula and meaning. Discover how to find the common difference and read arithmetic sequence examples.