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soldier1979 [14.2K]
4 years ago
10

Find the next three terms in the geometric sequence: 400, 200, 100, 50

Mathematics
2 answers:
Elena-2011 [213]4 years ago
7 0
It's dividing by 2. 

Next 3 would be: 25, 25/2, 25/4 or converting those into decimals. 
Crazy boy [7]4 years ago
6 0
Hi there! The geometric sequence is 1/2 of the number, because 400/2 is 200, 200/2 is 100, 100/2 is 50 and so on. 50/2 is 25, 25/2 is 12.5 and 12.5/2 is 6.25. There. The next three patterns of the geometric sequence is 25, 12.5, and 6.25.
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y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

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Step-by-step explanation:

If (-1,y) lies on the graph of y=2^{2x}, then by substitution we have:

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We just need to simplify to determine y:

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Use reciprocal rule for exponents to get rid of the negative:

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