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

f(10 +5 >1 - 2)

With the domain restrictions you can solve and get your answers

Answer 2

Recursive formula will be
`T_(n)=9.6(0.5)^(n-1)`

Explanation:

The given sequence is 9.6, -4.8, 2.4, -1.2, 0.6......

In this sequence we find that there is a common ratio which makes this sequence a geometric sequence.

For a geometric sequence explicit formula is given by

`T_(n)=a(r)^(n-1)` if n > 1

So by putting values of a = 9.6

and common ratio r =
`(-(4.8))/(9.6)` =
`-(1)/(2)`

Therefore, the recursive formula will be

`T_(n)=9.6(0.5)^(n-1)`