Question

Write down the nth term of the following sequence:

7 2 -3 -8 -13
With steps and explanation please,!!

Answer 1

see explanation

Explanation:

This is an arithmetic sequence with n th term

•
`a_(n)` = a + (n - 1)d

where a is the first term and d the common difference

d = 2 - 7 = - 3 - 2 = - 5 and a = 7, hence

`a_(n)` = 7 - 5(n - 1) = 7 - 5n + 5 = 12 - 5n

`a_(n)` = 12 - 5n ← n th term formula