Alternately, we add 3 and subtract 1.
Double the number and add 1 to it, to get the next number. So, 160 is wrong.
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.
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.
There are two series (10, 13, 16, 19) and (5, 10, 20, 40)one increasing by 3 and another multiplied by 2.
Each number is 15 multiplied by a prime number i.e., 15 x 11, 15 x 13, 15 x 17, 15 x 19, 15 x 23. So, the next number is 15 x 29 = 435.
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