Question

What is the nth term rule of 7,9,11,13,15

Answer 1

`a_(n)` = 2n + 5

Explanation:

There is a common difference between consecutive terms, that is

9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 2 , then

`a_(n)` = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5

Answer 2

The answer is twenty three