Question

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 . . ? ? (:

Answer 1

the partial sums are:
1 + 1/2 = 3/2
then with 1/4 = 7/4
then with 1/8 = 15/8
31/16
63/32
...

So you can see it's getting closer and closer to 2. The answer is 2.

Now, what kinds of tools do you have so we can prove it? Do you know the formula for the infinite sum of geometric series?

Answer 2

An infinite number of mathematicians walk into a bar. The first poured 1 glass of beer, the second poured half a glass of beer, the third poured a quarter glass of beer, and so on.

The bartender yelled 'you guys all suck!', poured himself 2 beers, and left the bar.

Answer 3

thanks everyone

Answer 4

The formula is the the first term divided by the quantity (1-r). And r is the second term divided by the first term.