Question

In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is

Answer 1

`a_5=-12`

Explanation:

Given that,

The first term of the sequence, a = 8

Common difference, d = -5

We need to find the fifth term of the sequence.

The nth term of the sequence is given by :

`a_n=a+(n-1)d`

Put n = 5, a = 8 and d = -5 in the above formula

`a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12`

So, the fifth term of the sequence is -12.