Question

Find the nth term for the
following sequences:
Q2)3, 9, 15, 21

Answer 1

`a_(n)` = 6n - 3

Explanation:

There is a common difference d between consecutive terms, that is

d = 9 - 3 = 15 - 9 = 21 - 15 = 6

This indicates the sequence is arithmetic with n th term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 6, then

`a_(n)` = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3