Science:Infinite Series Module/Units/Unit 2/2.3 The Alternating Series Test/2.3.02 The Alternating Series Test
The alternating series test is given by the following.
|The Alternating Series Test|
If the alternating series
satisfies for k = 2, 3, 4, 5, ... , and
then the series is convergent.
Take care to note that this test, as its name suggests, can only be applied for the special case when successive terms alternate between positive and negative values.