anonymous
  • anonymous
Which of the following are geometric sequences?Check all that apply. A. 2, -2, 2, -2, 2, -2, 2 B. 1, 2, 4, 8, 16, 32 C. 1, 4, 9, 16, 25, 36, 49 D. 10, 5, 2.5, 1.25, 0.625, 0.3125
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
first one is \[2\times (-1)^{n+1}\] go geometric. notice that each ratio is -1
anonymous
  • anonymous
second one is \[2^{n-1}\] also geometric. notice again that common ratio is 2
anonymous
  • anonymous
third one is \[n^2\] not geometric because for example \[\frac{25}{16}\neq \frac{36}{25}\]

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anonymous
  • anonymous
last one ... take the ratio of any two successive terms. if those ratios are the same, then it is geometric.

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