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What is the explicit rule for the geometric sequence? 400,200,100,50,...

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Answer:

an = 400·(1/2)^(n -1)

Explanation:

The first term of the sequence is a1 = 400. The common ratio is r = 200/400 = 1/2.

The general term of a geometric sequence is ...

an = a1·r^(n-1)

Filling in the applicable values, we get the explicit formula ...

an = 400·(1/2)^(n -1)

__

This can be simplified to ...

an = 800/2^n

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