Explain how to find the nth term of an arithmetic sequence.

To find the nth term of an arithmetic sequence, use the formula: an = a1 + (n-1)d, where a1 is the first term, d is the common difference, and n is the term number.

An arithmetic sequence is a sequence of numbers where each term is obtained by adding a fixed number (the common difference) to the previous term. For example, 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3.

To find the nth term of an arithmetic sequence, you need to know the first term (a1), the common difference (d), and the term number (n). Once you have these values, you can use the formula an = a1 + (n-1)d to find the nth term.

For example, let's find the 10th term of the arithmetic sequence 2, 5, 8, 11, 14. Here, a1 = 2, d = 3, and n = 10. Substituting these values into the formula, we get:

a10 = a1 + (n-1)d
a10 = 2 + (10-1)3
a10 = 2 + 27
a10 = 29

Therefore, the 10th term of the arithmetic sequence 2, 5, 8, 11, 14 is 29.

It's important to note that the formula an = a1 + (n-1)d only works for arithmetic sequences. If you're dealing with a different type of sequence, you'll need to use a different formula or method to find the nth term.