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3 years ago

Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Answer:

an = −1,171,875(1/5)^n-1

Step-by-step explanation:

The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;

an = ar^n-1

n is the number of terms

r is the common ratio

a is the first term

From the sequence;

a = −1,171,875

r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2

r = 1/5

Substitute the values in the formula;

an = −1,171,875(1/5)^n-1

Hence the required explicit formula is an = −1,171,875(1/5)^n-1

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###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

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(rest is in image)

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2 years ago

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Dafna1 [17]

Answer:

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Step-by-step explanation:

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