Answer:
The 100th term of the sequence is 503.
Step-by-step 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 [tex]a_n=a+(n-1)d[/tex]
The 100th term is given by,
[tex]a_{100}=8+(100-1)5[/tex]
[tex]a_{100}=8+(99)5[/tex]
[tex]a_{100}=8+495[/tex]
[tex]a_{100}=503[/tex]
The 100th term of the sequence is 503.
