march madness is a tournament of the top 64 NVAA basketball teams. at the end of each round there are half as many teams as there were the previous round. there are 6 rounds total. at the end of the tournament, how many games have been played?
round1 32 games
round2 16 games
round3 8 games
round 4 4 games
round5 2 games
round6 (championship game) 1
so 1 + 2 + 4 + 8 + 16 + 32 = ....