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

9514 1404 393

  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)

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This could be rearranged to be ...

  an = -24·(-2)^(-n)

astronomers is your final answer! : )

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide