SOLUTION: Find the next number in the sequence: 3, 12, 21, 30, 33, 102

Algebra ->  Sequences-and-series -> SOLUTION: Find the next number in the sequence: 3, 12, 21, 30, 33, 102      Log On


   



Question 668948: Find the next number in the sequence:
3, 12, 21, 30, 33, 102

Found 2 solutions by Edwin McCravy, lynnlo:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
3, 12, 21, 30, 33, 102

We observe that those are all multiples of 3.  
Now we'll find all the multiples of 3 to find
out why those are different from the other multiples of 3.

Here are all the multiples of 3 less than 200

3, 6, 9, 12, 15, 18, 21, 24, 27, 30
33, 36, 39, 42, 45, 48, 51, 54, 57, 60
63, 66, 69, 72, 75, 78, 81, 84, 87, 90
93, 96, 99, 102, 105, 108, 111, 114, 117, 120
123, 126, 129, 132, 135, 138, 141, 144, 147, 150
153, 156, 159, 162, 165, 168, 171, 174, 177, 180
183, 186, 189, 192, 195, 198

I notice that all the others have digits which are 
greater than 3, so this is the sequence of all multiples
of 3 which have no digits larger than 3.

So the sequence goes like this

3, 12, 21, 30, 33, 102, 111, 120, 123,
132, 201, 210, 213, 222, 231, 300, 303, 312, 321,
330, 333, 1002, 1011, etc.

You just wanted the next one after 102 which is 111.

Edwin

Answer by lynnlo(4176) About Me  (Show Source):