The next numbers in the sequence are... 16, then 88.
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This sequence appears to be generated by adding the previous two numbers to get the next number. Starting with 2 and 6, we get 2 + 6 = 8. Then, 6 + 8 = 14, 8 + 14 = 22, and 14 + 22 = 36. This pattern follows the Fibonacci sequence, where each number is the sum of the two preceding ones.
There are many possible answers. One of these is Un = (79n6 - 2421n5 + 28225n4 - 159375n3 + 453736n2 - 606804n - 281520)/360 for n = 1, 2, 3, ...
I'm guessing your sequence is 1, 3, 6, 10, 15, ... In which case it continues: 21, 28, 36, 45, 55, 66, ... (These are the triangular numbers.)
Find a number that can be divided into both 28 and 36. If for example you try the number 2, you get:28/36 = 14/18.Both 14 and 18 can be divided by 2 as well, so repeat:14/18 = 7/9.7 and 9 have no more divisors in common, so there's your answer.(You could also have saved a step by noticing that both 28 and 36 are divisible by 4.)
28*36*63=63504