Number of games you have to wait before you have 3 wins in a row:
t = 1/2(1+t) + 1/4(2+t) + 1/8(3+t) + 1/8(3)
t = 14
Number of games you have to wait before you have 14 wins in a row:
t = 1/2(1+t) + 1/4(2+t) + 1/8(3+t) + 1/16(4+t) + ... + 1/16384(14+t) + 1/16384(14)
t = 2 ^ (n+1) - 2
t = 32766
