SOLUTION: find the sum of the infinite geometric series http://prntscr.com/sg32q2

Algebra ->  Sequences-and-series -> SOLUTION: find the sum of the infinite geometric series http://prntscr.com/sg32q2      Log On


   



Question 1159032: find the sum of the infinite geometric series
http://prntscr.com/sg32q2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

c.
sum%28+2%28-2%2F3%29%5En%2C+n=0%2Cinfinity%29........the series has positive and negative elements, check for conditional absolute convergence->converges (absolutely )
= 6%2F5=1.2

d.
sum%28+4%280.2%29%5En%2C+n=0%2Cinfinity%29...apply the constant multiplication rule
=4%2Asum%28+4%280.2%29%5En%2C+n=0%2Cinfinity%29 .......apply series geometric test: 1.25
=4%2A1.25
=5