Question

Solution of 1,2,9,28,65 what is the next number

Answer 1

1=1×1
2 = 1 x 2
9 = 3 x 3
28 = 7 x 4
65 = 13 x 5
126 = 21 x 6
See, the first terms on RHS is of following pattern:
1, 1+2, 1+2+4 , 1+2+4+6, so next term will be 1+2+4+6+8=21
2nd terms on RHS follow simple progression
1,2,3,4,5,....so next term is 6

Answer 2

Apply the formula,n^3+1,here n= 0,1,2,...