Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
2 answers:
Answer:
, where f(1)=3
Step-by-step explanation:
The given sequence is; 3, –6, 12, –24, 48, …
The first term of this sequence is
There is a common ratio of
We can actually use any other two consecutive terms in the sequence to obtain the common ratio.
The recursive formula is given by:
We plug in the common ratio to get:
, where f(1)=3
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This inequality may be written two ways:
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or
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or
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A graph of the inequality is shown below. The shaded region satisfies the inequality.
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