Consider the infinite Geometric Series

http://i.imgur.com/wIJjpV5.gif

a. write the first four terms of the series
b does the series converge or diverge?
c. if the series has a sum, find the sum.

Question

Consider the infinite Geometric Series 

http://i.imgur.com/wIJjpV5.gif

a. write the first four terms of the series
b does the series converge or diverge?
c. if the series has a sum, find the sum.

amistre64 · Answer

first four terms of the series would be:

sum1
sum2
sum3
sum4

amistre64 · Answer

the formula for the sum of a geo series can be written as
$$a\frac{1-r^n}{1-r}$$

amistre64 · Answer

if r<1  the series converges

anonymous · Answer

how do i find r?

amistre64 · Answer

its the thing with the exponent on it ....

anonymous · Answer

okay i got it nevermind............................................................................................................................