The 100th term of the sequence with the term -1-4n

Given:

The terms of a sequence are given by

To find:

The 100th term of the sequence.

Solution:

We have,

Putting n=100, we get

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

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.