4.1  Sequences and Series

    In formal terms, a complex sequence is a function whose domain is the positive integers and whose range is a subset of the complex numbers. The following are examples of sequences:  

[Graphics:Images/ComplexSequenceSeriesMod_gr_1.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_2.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_3.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_4.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_5.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_6.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_7.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_8.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_9.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_10.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_11.gif]

[Graphics:Images/ComplexSequenceSeriesMod_gr_12.gif]

Exploration

[Graphics:../Images/ComplexSequenceSeriesMod_gr_13.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_14.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_15.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_16.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_17.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_18.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_19.gif]

[Graphics:../Images/ComplexSequenceSeriesMod_gr_20.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell