# Homework Help: How do I find the General Term of a Sequence?

1. Jun 6, 2014

### XEROX_FAN

1. Write down the general term of each of the following sequences in simplest form:
So far I have been using guess and check to find the solutions, but it doesn't seem much use when you get to a sequence more complicated like this: 1, -4, 7, -10, 13, ...

I really need to find an equation that I can use to determine the general term for any given sequence.

2. Relevant equations? Umm trying to find one ...

3. The attempt at a solution: tn = -n
and that's about as far as I got ...

Last edited by a moderator: Oct 23, 2015
2. Jun 6, 2014

### Zondrina

There really is no general formula to find the general term of a sequence. You essentially have to look for a pattern in the numbers.

Notice the terms in your sequence are alternating positive and negative. This tells you $(-1)^n$ will be part of the general term. What else do you notice?