SOLUTION: True or False. If a sequence is convergent, then the series is convergent. If true, explain why. If false, explain why or provide a counterexample.

Question 1041293: True or False.
If a sequence is convergent, then the series is convergent. If true, explain why. If false, explain why or provide a counterexample.
Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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True or False.
If a sequence is convergent, then the series is convergent. If true, explain why. If false, explain why or provide a counterexample.
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In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. (Wikipedia, this article.) False. Classic counter-example is the harmonic sequence , , , . . . , , . . . The sequence is converged (to zero), but the series is divergent.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!

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