Saturday

October 25, 2014

October 25, 2014

Posted by **Lucy** on Monday, October 13, 2008 at 11:55am.

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!!

- Pre-calculus -
**Reiny**, Monday, October 13, 2008 at 12:23pmThis 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 - 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 ...

College Calculus - Suppose the series An (from n=1 to INF) is known to be ...

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 ...

calculus - use the comparison test to determine whether the series is ...

Calculus - Is the series (8+1^n)/(1+2^n) divergent or convergent?

Pre Cal. - Find three geometric means betwee -sqrt(2) and -4sqrt(2). A: 2, -...