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, ...

Respuesta :

f(10 +5 >1 - 2)

With the domain restrictions you can solve and get your answers

Answer:

Recursive formula will be [tex]T_{n}=9.6(0.5)^{n-1}[/tex]

Step-by-step 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

[tex]T_{n}=a(r)^{n-1}[/tex] if n > 1

So by putting values of a = 9.6

and common ratio r = [tex]\frac{-(4.8)}{9.6}[/tex] = [tex]-\frac{1}{2}[/tex]

Therefore, the recursive formula will be

[tex]T_{n}=9.6(0.5)^{n-1}[/tex]