Use the sequence {−1,171,875;−234,375;−46,875;−9375, …} to answer the question. What is the explicit rule that describes the sequence?

an=−1,171,875(125)n−1

an=1,171,875(−15)n−1

an=−1,171,875(15)n−1

an=1,171,875(−115)n−1

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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step-by-step explanation:

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