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Ron and Don are playing a game called 'Race to 25'. In this game, the first player will say a whole number less than 4 (i.e., 1, 2 or 3). The next player will then say another whole number that is 1, 2, or 3 more than the number said by the previous player. The play continues with the players saying a number satisfying the same rule. The first player to say 25 is the winner. Find a winning strategy.

Ron and Don are playing a game called 'Race to 25'. In this game, the first player will say a whole number less than 4 (i.e., 1, 2 or 3). The next player will then say another whole number that is 1, 2, or 3 more than the number said by the previous player. The play continues with the players saying a number satisfying the same rule. The first player to say 25 is the winner. Find a winning strategy.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve using Polya's Method.

Ron and Don are playing a game called 'Race to 25'. In this game, the first player will say a whole number less than 4 (i.e., 1, 2 or 3). The next player will then say another whole number that is 1, 2, or 3 more than the number said by the previous player. The play continues with the players saying a number satisfying the same rule. The first player to say 25 is the winner. Find a winning strategy.
Transcribed Image Text:Ron and Don are playing a game called 'Race to 25'. In this game, the first player will say a whole number less than 4 (i.e., 1, 2 or 3). The next player will then say another whole number that is 1, 2, or 3 more than the number said by the previous player. The play continues with the players saying a number satisfying the same rule. The first player to say 25 is the winner. Find a winning strategy.
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