Very often, when workng with sequences, one of the questions you might get asked is whether a number is a term in the sequence you are given.

Obviously, one way could be to list the numbers in the sequence until you get to the one you are given. But, what if your number is large; in this case, listing the numbers may not be the right approach. So here is what you need to do.

Suppose we are asked the following:

**STEP 1**: Find the nth term for the sequence.

**STEP 2**: Find n.** If n is a whole number** then our number 157 is a term in the sequence

**Another Example**

Full video lesson on Linear Sequences is found here.