Question

1. Write a geometric series with a starting index of n = 0 which has a...

1. Write a geometric series with a starting index of n = 0 which has a sum of 4. Show how you come up with your series.

2. Using the geometric series you wrote in 1, show how you would find the sum if the starting index was n = 3.

3. Write a geometric series that diverges.

Math   Calculus   
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Answer #1

1. Let us consider the geometric series

then we should find r such that

Since its a infinte geometric series sum will be

Therefore the series is

3. The series diverges since this is a geometric series with common ratio . Hence it diverges

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