Question

Write a simplified expression for the right of the equation that can be used to find the nth term in the sequence 1,6,11,16,21

Answer 1

The given sequence is 1, 6, 11, 16, 21.

As you can observe, the difference in the sequence is 5 (d = 5).

The first term is 1. So, we have to use an arithmetic sequence formula

`a_n=a_1+(n-1)d`

In this case, the equation would be

`a_n=1+(n-1)\cdot5`

The simplified equation would be

`a_n=5n-4`