*The numbers of a sequence are called terms where the th term of a sequence is denoted by the symbol .*

Arithmetic sequences are defined by the following equation:

, where is constant.

To find the terms of an arithmetic sequence, the following equation is used:

Where is the th term

is the first term

is the common difference

**Find the 10th term of the following arithmetic sequence**

Given that and , the 10th term is -21.

**If the first three terms of an arithmetic sequence are 11,19 and 27, which term is equal to 115?**

Use the rule for the arithmetic sequence:

Now that the rule has been simplified, to find the term equal to 115, substitute the value of into the equation.

Arithmetic Sequences

The Sum of a Finite Arithmetic Sequence

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