# How do I find the first term of an arithmetic sequence?

##### 1 Answer

Oct 23, 2016

See explanation.

#### Explanation:

To answer this (or any other) question I need some data. It is impossible to solve such task without having anything given.

If I had two terms I could use the

For example:

*The second term of an arithmetic sequence is 4. The fifth is 10. Find the first term.*

In this task we have 2 terms given:

If we subtract the first equation from the second we can calculate

Now if we substitute the calculated value we see that:

Now we can answer that **The first term of this sequence is 2**