23 664
Well it's your birthday so you just grew a little older!
Also this is cool:
1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 ... = 2
Wanna know how I solved this? Since, logically it's an endless sequence that will always get closer to 2 without actually reaching 2,
Lets call the sum of this sequence X
Now lets double every value in the sequence to make 2X:
2X = 2 + 1 + 1/2 + 1/4 + 1/8 + 1/16 ...
Notice how you get a 2 followed by the very same sequence, thus making this equation:
2X = 2 + X
Now simply divide out the X's to make:
X = 2
Thus the sequence will be equal to 2.