# What is the fourth term of an arithmetic progression with a first-term of 5 and a common...

## Question:

What is the fourth term of an arithmetic progression with a first-term of 5 and a common difference of -3?

## Finding the nth term of an Arithmetic Sequence

As we know, an arithmetic sequence consists of array of terms in which the next term of the sequence is obtained by adding a common difference to the previous term. Suppose this sequence has n number of terms with {eq}a_{1} {/eq} as the first term and common difference d. The general formula for this sequence can be derived using

$$\color{blue}{a_n = a_1 + (n-1)d}$$

where {eq}a_n {/eq} represents the nth term of the sequence.