SOLUTION: Algebra 2 question! Help me please! I have a test on this stuff later today and I am very confused. Please just show all of your steps and explain in detail thanks! Consider the

Algebra ->  Expressions -> SOLUTION: Algebra 2 question! Help me please! I have a test on this stuff later today and I am very confused. Please just show all of your steps and explain in detail thanks! Consider the      Log On


   

Question 851722: Algebra 2 question! Help me please! I have a test on this stuff later today and I am very confused. Please just show all of your steps and explain in detail thanks!
Consider the infinite geometric series :
infinity
E -4(1/3)^n-1
n=1
Write the first four terms of the series.
Does the series diverge or converge?
If the series has a sum, find the sum.
Thank you!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Sum=sum%28-4%281%2F3%29%5E%28n-1%29%2Cn=1%2Cinfinity%29
n=1, -4%281%2F3%29%5E%281-1%29=-4%281%2F3%29%5E0=-4
n=2, -4%281%2F3%29%5E%282-1%29=-4%281%2F3%29%5E1=-4%2F3
n=3, -4%281%2F3%29%5E%283-1%29=-4%281%2F3%29%5E2=-4%2F9
n=4, -4%281%2F3%29%5E%284-1%29=-4%281%2F3%29%5E3=-4%2F27
Converges since abs%281%2F3%29%3C1
Sum=-4%281%2F%281-1%2F3%29%29=-4%281%2F%282%2F3%29%29=-4%283%2F2%29=-6