Question

4,7,10,13,16 find the nth term for each sequence

Answer 1

`a_(n)` = 3n + 1

Explanation:

There is a common difference between consecutive terms in the sequence, that is

7 - 4 = 3

10 - 7 = 3

13 - 10 = 3

16 - 13 = 3

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + d(n - 1)

a₁ is the first term, d the common difference , n the term number

here a₁ = 4 and d = 3 , then

`a_(n)` = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1