Find your Math Personality!

Find your Math Personality!

# Find the nth term 1 + 4 + 7 + 10 + 13 ⋯

We will use the concept of sequence and series in order to find the nth term.

## Answer: nth-term a_{n} = 3n - 2

Let us see how we will use the concept of sequence and series in order to find the nth term.

**Explanation**:

This is an arithmetic sequence.

First-term a_{1} = 1

Second-term a_{2} = 4

Third-term a_{3} = 7

Fourth term a_{4} = 10

Difference between two terms = 3

As per arithmetic sequence formula, a_{n} = a + (n-1)d

Here, a = 1, d = 3

a_{n }= 1 + (n - 1)(3)

a_{n} = 1 + 3n - 3

a_{n }= 3n - 2

### Thus, we can observe that nth-term a_{n} = 3n - 2

Math worksheets and

visual curriculum

visual curriculum