Respuesta :

Given:

The terms of a sequence are given by

[tex]a_n=-1-4n[/tex]

To find:

The 100th term of the sequence.

Solution:

We have,

[tex]a_n=-1-4n[/tex]

Putting n=100, we get

[tex]a_{100}=-1-4(100)[/tex]

[tex]a_{100}=-1-400[/tex]

[tex]a_{100}=-401[/tex]

Therefore, the 100th term of the given sequence is -401.