Question

Find the sum of the convergent series

Answer 1

\[\sum_{0}^{\infty} 9(\frac{4}{5})^n\]

Answer 2

Since 4/5 < 1 we use a/(1-r) right?

Answer 3

\[\frac{9}{\frac{5}{5} - \frac{4}{5}}\]

Answer 4

\[\frac{9}{\frac{1}{5}} = 9 * 5/1 = 45?\]

Answer 5

\[9*\frac{1}{1-\frac45}\]

yes, since 4/5 is less than 1 it goes to zero in the end and we are left with the denom

Answer 6

wuh?

Answer 7

i simply agreed with your assessment ...

Answer 8

the denom?

Answer 9

oh okay....

Answer 10

did I calculate this correctly?

Answer 11

yes, but a wolf chk would be more assuring :)

Answer 12

http://www.wolframalpha.com/input/?i=sum+%28from+0+to+inf%29+%289*%284%2F5%29%5En%29

Answer 13

Oh I was going to do it... Woot I'm correct :D

Answer 14

To the next Q!