Some card players sat in a circle, so that each had two neighbors, and each had a certain number of dollars. The 1st player had $1 more than the 2nd player, who had $1 more than the third, and so on. The first player gave $1 to the second, who gave $2 to the third, and so on, each giving $1 more than they received, around and around the table as long as possible. There were then 2 neighbors, one having 4 times as much money as the other.

(a) How many players were there?

(b) How much money did the first player start with?

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## BMAD

Some card players sat in a circle, so that each had two neighbors, and each had a certain number of dollars. The 1st player had $1 more than the 2nd player, who had $1 more than the third, and so on. The first player gave $1 to the second, who gave $2 to the third, and so on, each giving $1 more than they received, around and around the table as long as possible. There were then 2 neighbors, one having 4 times as much money as the other.

(a) How many players were there?

(b) How much money did the first player start with?

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