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- 2+6+10+...+(4n-2) = 2n²
- P(1): 4n-2 = 2n²
- (4.1)-2 = 2.1²
- 4-2=2
- 2=2 OK
- P(k+1): 2+6+10+(4n-2)+(4(k+1)-2) = 2(k+1)²
- = 2k²+(4(k+1)-2)
- = 2k²+4k+4-2
- = 2k²+4k+2
- = 2(k²+2k+1)
- = 2(k+1)²
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