Question

How do you write the first six terms of the sequence `a_n=3n+1`?

Answer 1

`4, 7, 10, 13, 16, 19`

Explanation:

`n` indicates the number of terms, or a term in a particular position.

`n` a;ways starts from 1.

So we need to use `n = 1, n = 2, n=3` etc

`a_1 = 3(1)+1 = 4`
`a_2 = 3(2) +1= 7`
`a_3 = 3(3)+1 = 10`

But by this term we can see that each term is 3 more than the previous :

`13, 16, 19`

For an AP, the coefficient of the `n` term also indicates `d`.