Question: 1) Prove that 1 + 2 + 22 + 23 +. . . . + 2n = 2n+1 - 1 for n 2 1. Use

1) Prove that 1 + 2 + 22 + 23 +.

1) Prove that 1 + 2 + 22 + 23 +. . . . + 2n = 2n+1 - 1 for n 2 1. Use proof by induction. 2) Prove that equation x2 + y3 = 60 does not have any positive integer solution. Prove by exhaustively checking every possible candidate solutions

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