Sequences
Many ways problem

Can you find... series edition
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Problem

Can you find an infinite series where…

  1. … the terms are decreasing and the series converges?

  2. … the terms are decreasing and the series does not converge?

  3. … the terms are increasing and the series converges?

What if the series in (a) must converge to \(4\)?

What if the terms of the series in (b) must all be positive?

If you add the same constant to each of the terms in the series you found in (c), will your new series still meet the conditions in part (c)?

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Last updated 14-Jul-17
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