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zzz [600]
2 years ago
12

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

Mathematics
2 answers:
Lady_Fox [76]2 years ago
7 0

Answer:

The answer is C

Step-by-step explanation:

Llana [10]2 years ago
4 0

Answer:

f(n)=-2\cdot f(n-1), where f(1)=3

Step-by-step explanation:

The given sequence is; 3, –6, 12, –24, 48, …

The first term of this sequence is

f(1)=3

There is a common ratio of r=\frac{-6}{3}=-2

We can actually use any other two consecutive terms in the sequence to obtain the common ratio.

The recursive formula is given by:

f(n)=r\cdot f(n-1)

We plug in the common ratio to get:

f(n)=-2\cdot f(n-1), where f(1)=3

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