topic: geometric sequence

online game!

now with the nba's basketball season suspended because of the corona virus, real nba player are playing nba 2k20 against each other in an online game. the final prize of $100,000 will go to a group working to help with the corona virus. the winner of the contest will get to decide which group gets the money.

the game tournaments begin with 256 players. two players play in each other and in each game only the winner advances to the next round.

questions:
1. write the first five terms of the geometric sequence

2. find the common ratio

3. find the general nth term of the sequence

4. how many games must be played to determine the winner?


with solution​