A recursive rule for an arithmetic sequence is a1=−7;an=an-1 Times (1/3)

-7 * (1/3) ^ (n-1)

Step-by-step explanation:

I think the question should be related to going from recursive to explicit form, therefore:

We have that the recursive formula for the given geometric sequence is:

a1 = -7

an = (an-1) * (1/3)

With the above we can assume that:

r = 1/43

following the rule of the explicit formula that is given by:

an = a1 * (r) ^ (n-1)

we substitute and we have:

an = -7 * (1/3) ^ (n-1)

Therefore the explicit formula from the given data would be:

an = -7 * (1/3) ^ (n-1)

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step-by-step explanation: