Tagged Questions
1
vote
0answers
65 views
Simplifying this infinite series [duplicate]
Possible Duplicate:
How can I evaluate $\sum_{n=1}^\infty \frac{2n}{3^{n+1}}$
I have an infinite series like so:
$$\sum_{i=0}^\infty (i+1)x^i$$
or basically
$$ 1 + 2x + 3x^2 + 4x^3 +... ...
3
votes
2answers
214 views
How many times more than $0$?
If I have $10$ apples, but you have $5$ apples, then I have $2$ times more apples than you. But what if I have $10$ apples, but you don't have any apples?
If you look at the graph ...
38
votes
7answers
4k views
Infinity = -1 paradox
I puzzled two high school Pre-calc math teachers today with a little proof (maybe not) I found a couple years ago that infinity is equal to -1:
Let x equal the geometric series: $1 + 2 + 4 + 8 + 16 ...
