MATH 164, Spring 2001 Due Date: Name(s):
Project 12.2c: More Sequences and Series
Objective
To continue investigating sequences and series using Maple.
Narrative
If you have not already done so, do Project 12.2b.
In this project we investigate:
a) the sequence {an} = 1
n2 and the associated series 
n=1
1
n2 ,
b) the sequence {an} = 1
n and the associated series 
n=1
1
n , and
c) the sequence {an} = (-1)n+1
n and the associated series 
n=1
(-1)n+1
n .
Task
Repeat Project 12.2b using:
a) the sequence {an} = 1
n2 ,
b) the sequence {an} = 1
n , and
c) the sequence {an} = (-1)n+1
n .
Comments
Some other interesting sequences you might want to investigate include {an} = { 1
n! }, {an} = { 1
nn }, and
{an} = {1 + (-1)n
}.