Question

What should be the missing number in this sequence - 3, 5, 33, ?, 503,1233

Answer 1

3 5 33 x 503 1233

here

5 - 3 = 2 ( 1 cube + 1 = 1 + 1 = 2 )

33 - 5 = 28 ( 3 cube + 1 = 27 + 1 = 28 )

we should skip 3rd and 4th step because we are not know the value of x

now last step

1233 - 503 = 728 ( 9 cube + 1 = 729 + 1 = 728 )

we absorb that the difference between the no. is a series is the sum of cube of odd no. and 1

so third step

x - 33 = 5 cube +1 = 125 + 1 = 126

x = 126 + 33 = 159

3 5 33 159 503 1233

159

**