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Jun 23rd, 2017
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  1. 2+6+10+...+(4n-2) = 2n²
  2.  
  3. P(1): 4n-2 = 2n²
  4. (4.1)-2 = 2.1²
  5. 4-2=2
  6. 2=2 OK
  7.  
  8. P(k+1): 2+6+10+(4n-2)+(4(k+1)-2) = 2(k+1)²
  9. = 2k²+(4(k+1)-2)
  10. = 2k²+4k+4-2
  11. = 2k²+4k+2
  12. = 2(k²+2k+1)
  13. = 2(k+1)²
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