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, ..

Question

4 years ago

4

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2 answers:

USPshnik [31] · Answer 1 · 2022-01-28T21:54:01+03:00

8 0

F(10 +5 >1 - 2)

With the domain restrictions you can solve and get your answers

muminat · Answer 2 · 2022-01-29T00:12:01+03:00

Answer:

Recursive formula will be $T_{n}=9.6(0.5)^{n-1}$

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

$T_{n}=a(r)^{n-1}$ if n > 1

So by putting values of a = 9.6

and common ratio r = $\frac{-(4.8)}{9.6}$ = $-\frac{1}{2}$

Therefore, the recursive formula will be

$T_{n}=9.6(0.5)^{n-1}$