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What is the explicit formula for the geometric sequence with this recursive formula? { a1 = -7 an = an-1 • (1/3)

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Answer:

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

Explanation:

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

an = a1·r^(n-1)

The multiplier in the recursion relation is the common ratio: 1/3. The first term is given as a1 = -7. Putting these in the general formula, we have ...

an = -7·(1/3)^(n-1)

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