Question

Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4n − 5

Answer 1

Okay, here we have this:

Considering the provided sequence, we are going to find the requested first five terms of the sequence, so we obtain the following:

So what we will do is replace n from 1 to 5, we have:

n=1:

an=4n-5

a1=4(1)-5

a1=4-5

a1=-1

n=2:

an=4n-5

a2=4(2)-5

a2=8-5

a2=3

n=3:

an=4n-5

a3=4(3)-5

a3=12-5

a3=7

n=4:

an=4n-5

a4=4(4)-5

a4=16-5

a4=11

n=5:

an=4n-5

a5=4(5)-5

a5=20-5

a5=15

Finally we obtain that the first five terms are: -1, 3, 7, 11, 15