4 3 9 34 96 219 435…
May be this question is to identify the wrong number in given series...
Next Number --> ( ( (Position of a current number in the sequence)^3 ) – 2 ) + current number
4: 1^3 – 2 + 4 --> 3 (next number in the sequence)
3: 2^3 – 2 + 3 --> 9
9: 3^3 – 2 + 9 --> 34
34: 4^3 – 2 + 34 --> 96
96: 5^3 – 2 + 96 --> 219
219: 6^3 – 2 + 219 --> 433
So, the last number should have been 433, instead 435.