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Th Write an explicit formula for an, the n term of the sequence 12, -6,3,...​

User Joe Meyer
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Answer:

an = 12(-1/2)^(n-1)

Explanation:

Your sequence has a common ratio of ...

r = -6/12 = 3/-6 = -1/2

The first term is 12.

The explicit formula for the general term of a geometric sequence with first term a1 and common ratio r is ...

an = a1·r^(n-1)

Using the values for this sequence, the explicit formula you want is ...

an = 12·(-1/2)^(n -1)

__

This could be rearranged to be ...

an = -24·(-2)^(-n)

User Eric Alberson
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