Best Answer

n=1 a(1) = 0.001

n=2 a(2) = 0.012

n=3 a(3) = 0.144

n=4 a(4) = 1.728

n=5 a(5) = 20.736

....

n=k a(k) = (12^(k-1))/1000

let n = k+1

a(k+1) = 12^(k)/1000

12(ak) = a(k+1)

12(12^k-1)/1000 = 12^k/1000

the 12 gets absorbed here.

12^(k-1+1)/1000 = 12^k/1000

Valid for k and k+1

therefore our equation

A(n) = 12^(n-1)/1000, n(greater than or equal to) 1

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Q: A geometric sequence is defined recursively by an equals 12an-1 The first term of the sequence is 0.001 Which of the following is the explicit formula for the nth term of the sequence?

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In order to answer the question is is necessary to know what the explicit formula was. But, since you have not bothered to provide that information, the answer is .

No.

a sequence of shifted geometric numbers

Since there is only one number, there is no sensible answer.

A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.

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Type yourWhich choice is the explicit formula for the following geometric sequence? answer here...

The answer depends on the nature of the sequence: there is no single method which will work for sequences which are arithmetic , geometric, exponential, or recursively defined.

In order to answer the question is is necessary to know what the explicit formula was. But, since you have not bothered to provide that information, the answer is .

The sequence is neither arithmetic nor geometric.

None of the following could.

No.

Yes, that's what a geometric sequence is about.

a sequence of shifted geometric numbers

This is not a geometric series since -18/54 is not the same as -36/12

· Geometric Sequence (geometric progression) - a sequence of numbers in which each term is obtained by multiplying the preceding term by the same number (common ratio). The following is a geometric progression: 1, 2, 4, 8, 16, 32… The common ratio for this geometric progression is 2.

Since there is only one number, there is no sensible answer.

You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.

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