Determine if the following series converges or diverges and explain why. 1) 1 - (4/6) +...

Determine if the following series converges or diverges and explain why.

1) 1 - (4/6) + (4/6)^2 - (4/6)^3 + ...

2) 1 - (6/4) + (6/4)^2 - (6/4)^3 + ...

Solutions

Expert Solution

In part I. We have used the geometric series test, when the absolute modulus of the common ratio is strictly less than 1, then the series is convergent.

In part 2, one of the condition of the alternating series is not satisfied and thus, the series is divergent. The explanation is provided in the solution.

milcah answered 1 year ago

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