1,12,13,25,38,63,_,164

Question

What is the missing number in this number pattern

 

Answer 1

First, look for a common difference.  There is none, so it is not an arithmetic sequence.

 

Then, look for a common ratio.  Again, no; this is not a geometric sequence.

 

Now look for rates of increase/decrease.  You might notice that the first two numbers are 1 and 12, then each number after that is the sum of the two previous numbers.  That makes filling in the blank pretty easy !

Answer 2

Each number is the sum of the last two so 38+63  or 164-63. In both cases = 101