Alternating sequence is a sequence, whose term change sign (i.e. if a term
See Also
The alternating series testAlternating Series Test (Leibniz's Theorem) for Convergence of an Infinite Series - Calculus | SocraticSequence and Series-Definition, Types, Formulas and ExamplesAlternating SeriesExamples:
#a_n=(-1/2)^n#
This sequence would have terms:#-1/2;1/4;-1/8;1/16;...# #b_n=(-1)^n# .
This sequence would have terms:#-1;1;-1;1;...# #c_n=(-1)^n*n#
This sequence would have terms:#-1;2;-3;4;...#
Note that such terms can be either convergent:
