Question

### Gauthmathier6697

Grade 10 · 2021-01-10

Determine whether the series 1+\dfrac {3}{2}+\dfrac {9}{4}+\dfrac {27}{8}+... converges.

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Answer

4.6(256) votes

### Gauthmathier5597

Grade 10 · 2021-01-10

Answer

the series diverges

Explanation

1+\dfrac {3}{2}+\dfrac {9}{4}+\dfrac {27}{8}+... is a geometric series with a=1 and r=\dfrac {3}{2}. Since r>1, the series diverges.

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