Posted by Lucy on Monday, October 13, 2008 at 11:55am.
Which of the following series is divergent?
a) 1+3(1/4)+9(1/4)^2+27(1/4)^3...
b) 1+3(1/5)+9(1/5)^2+27(1/5)^3...
c) 1+3(1/7)+9(1/7)^2+27(1/7)^3...
d) 1+3(1/2)+9(1/2)^2+27(1/2)^3...
How do you determine if a series in convergent or divergent???
The book that I have is about as clear as mud and I do not understand...
Thanks for your help!!

Precalculus  Reiny, Monday, October 13, 2008 at 12:23pm
This would be a lengthy reply, so see if you can make sense out of this
http://faculty.msmary.edu/heinold/m248spring2007/m248spring2007_convergence_tests.pdf
I will take a look at the first question
1+3(1/4)+9(1/4)^2+27(1/4)^3...
= 1 + 3^1 / 4^1 + 3^2 / 4^2 + ..
= 1 + summation of (3/4)^n as n goes from 1 to infinitity
Now compare this result with what it says about the summation of a geometric series at the top of the link I gave you.
good luck.
Answer This Question
Related Questions
 Calculus 2 (Series  Convergent or Divergent?)  Can someone show me a step by ...
 Calculus  Determine whether the series is convergent or divergent. If it is ...
 calculus  is this correct? use the integral test to determine if this series is...
 Convergent/Divergent  determine whether the series 1 + 1/2^5 + 1/3^5 + 1/4^5...
 Calculus  Determine whether the series is convergent or divergent. If it is ...
 Integral Calculus  Series  Find if series is convergent or divergent. Series ...
 College Calculus  Suppose the series An (from n=1 to INF) is known to be ...
 Calc 2  Determine whether the series is convergent or divergent series symbol n...
 calculus  Use the ratio test to determine whether the series is convergent or ...
 calculus  use the integral test to determine whether the series is convergent ...
More Related Questions