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Find the next three terms of the sequence. Then write a rule for the sequence.
648, 216, 72, 24
 one year ago
 one year ago
Find the next three terms of the sequence. Then write a rule for the sequence. 648, 216, 72, 24
 one year ago
 one year ago

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oldrin.batakuBest ResponseYou've already chosen the best response.0
By quick observation the difference between the terms is not constant, so the sequence isn't arithmetic. It does, however, appear to be geometric:$$r=\frac{216}{648}=\frac{72}{216}=\frac{24}{72}=\frac13$$... which means we can find the next three terms by multiplying by \(\frac13\):$$\frac13(24)=8;\frac13(8)=\frac83;\frac13\left(\frac83\right)=\frac89$$The explicit form of a geometric series is \(a_n=a_1r^{n1}\); in our case, we've identified \(r=\frac13,\ a_1=658\) which yields \(a_n=658\left(\frac13\right)^{n1}\)
 one year ago
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