Question

Consider a sequence given by the formula f(n) = (−1) ^ n × 3 starting with n = 1. Generate the first 5 terms of the

sequence.

Answer 1

We have the formula
`f(n)=(-1)^n*3=3(-1)^n`

For n=1,
`f(1)=3(-1)^1=3(-1)=-3`

For n=2,
`f(2)=3(-1)^2=3*1=3`

For n=3,
`f(3)=3(-1)^3=3(-1)=-3`

For n=4,
`f(4)=3(-1)^4=3(1)=3`

For n=5,
`f(5)=3(-1)^5=3(-1)=-3`