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Damm [24]
3 years ago
8

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

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

9514 1404 393

Answer:

  an = 12(-1/2)^(n-1)

Step-by-step 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)

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