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bonsoir

3.5 ² = 3 x 4  + 0.25 = 12.25
3.5² = 12.25 

7.5² = 7 x 8 + 0.25 = 56.25

(n + 0.5)² = n² + n + 0.25  = n ( n + 1)  + 0.25