Pie with n cuts

(You are NOT allowed to put the cut piece(s) on top of the other.)


.. Answer ..
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Number of cut = n Additional pieces Maximum number of pieces
0 0 1
1 +1 2
2 +2 4
3 +3 7
4 +4 11
5 +5 16
6 +6 22
7 +7 29
8 +8 37
9 +9 46
10 +10 56

Conclusion::

Maximum number of pieces = 1+1(if n>=1)+2(if n>=2)+3(if n>=3)+4(if n>=4)+ ···········

or   Maximum number of pieces = ( 2 + n + n² ) / 2