# What is the first term of an arithmetic sequence in which the seventh term is 3 and the sixteenth term is -15?

##### 1 Answer

Jul 17, 2015

The first term of the sequence is

#### Explanation:

We know that

We also know that

**Equation (1): **

and

**Equation (2): **

Subtract Equation (2) from Equation (1).

**Equation (3): **

Substitute Equation (3) in Equation (1).