find the first term of the series 9,28,65,126,217
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This is a number series of sum of a cube and 1
2 = 1*1*1 +1
9= 2*2*2+2
28 = 3*3*3+1
65= 4*4*4+1
126=5*5*5+1
217=6*6*6+1
344= 7*7*7+1
So next number will be
8*8*8+1 =513
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