Question

The 100th term in 8, 13, 18,23, 28,...

Answer 1

The 100th term of the sequence is 503.

Explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by
`a_n=a+(n-1)d`

The 100th term is given by,

`a_(100)=8+(100-1)5`

`a_(100)=8+(99)5`

`a_(100)=8+495`

`a_(100)=503`

The 100th term of the sequence is 503.