Pie with n cuts

.. 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