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pychu [463]
4 years ago
9

The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = ne

gative one-ninth (negative 3) Superscript x minus 1. What is the common ratio and recursive formula for this sequence?
3; f(x + 1) = 3(f(x))
−3; f(x + 1) = −3(f(x))
3; f(x + 1) = (f(x))
−3; f(x + 1) = (f(x))
Mathematics
2 answers:
natulia [17]4 years ago
9 0

Answer:

I agree I think its B

Step-by-step explanation:

yulyashka [42]4 years ago
4 0

Answer:

B. i took the lil question on edge, hope this helps

Step-by-step explanation:

.

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Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

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In this example, we have a_{1} = 36 (the first term in the sequence) and

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Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

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