The pattern is x2 + 3, where x = 4, 5, 6, 7, 8, 9 etc. But 102 is out of pattern.
The number are 13, 23, 33, 43 etc. So, 124 is wrong. It must have been 53 i.e., 125.
In each number except 427, the middle digit is sum of the other two.
Numbers are (23 - 1), (33 - 1), (43 - 1) (53 - 1), (63 - 1) (73 - 1) etc.
So, the next number is (83 - 1) = (512 - 1) = 511.
Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number. Clearly,128 is wrong.
Go on adding 7, 9, 11, 13, 15, 17 respectively to obtain on the next number. So, 33 is wrong.
Double the number and add 1 to it, to get the next number. So, 160 is wrong.
Alternately, we add 3 and subtract 1.
Second number is one more than twice the first third number is one less than twice the second, fourth number is one more than twice the third, fifth number is one less than the fourth. Therefore, the sixth number is one more than twice the fifth. So, the missing number is 75.
Alternately, we add 5 and subtract 7.
Each previous number is multiplied by 2.
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