Question

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ..

Answer 1

We have got an geometric progression.

We use to find any term of a geometric sequence, this equation:

an=a₁ * r^(n-1)

a₁= is the first term.

r=is the common ratio.

n=numbers of the term to find.

r=an / an-1

In this case:

r=a₂/a₁=(-4.8) / 9.6=-0.5

a₁=9.6

an=9.6*(-0.5)^(n-1)