2 Answers

SOS · Answer 1 · 2021-10-13T16:23:43+0000

Answer:

$a_n=200\cdot (1)/(4)^((n-1))$

Explanation:

Since the sequence begins with 200 and each next term in the sequence is a quarter of the previous one, an equation for this would be:

$a_n=200\cdot (1)/(4)^((n-1))$

You can see that this works by testing out some scenarios. For instance, the third term in the sequence:

$a_3=200\cdot (1)/(4)^((3-1))= 200\cdot (1)/(16)=12.5$

Hope this helps!

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