Answer: 500, 100, 20, 4
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Step-by-step explanation:
The sequence appears to be geometric. Let's test that claim out.
Divide each term by the previous term.
- r = term2/term1 = 62500/312500 = 0.2
- r = term3/term2 = 12500/62500 = 0.2
- r = term4/term3 = 2500/12500 = 0.2
Each time we get the result 0.2, which is the common ratio r. It tells us this sequence is indeed geometric.
To get the next term in a geometric sequence, we multiply the last term 2500 by this common ratio.
- term5 = r*term4 = 0.2*2500 = 500
Follow similar steps for terms 6 through 8.
- term6 = r*term5 = 0.2*500 = 100
- term7 = r*term6 = 0.2*100 = 20
- term8 = r*term7 = 0.2*20 = 4
Terms 5 through 8 are 500, 100, 20, and 4 in that order.