Steps for alternating series test, Mathematics

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Steps for Alternating Series Test

Suppose that we have a series ∑an and either an = (-1)n bn or an = (-1)n+1 bn where bn > 0 for all n.  Then if,  

1.  

2315_Steps for Alternating Series Test.png

2.  {bn} is a decreasing sequence

the series ∑an is convergent.

 


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