In how many ways can you represent a number as a sum of 1’s and 2’s?
Some examples:
| Number | Different Ways | Total ways |
| 3 | 1+1+1, 2+1, 1+2 | 3 |
| 4 | 1+1+1+1, 2+2, 1+1+2, 2+1+1, 1+2+1 | 5 |
Note that sums written in different orders are considered different.
2+1 and 1+2 are considered different combinations.
Submit your answer for the following numbers. How many ways can you write them as a sum of 1’s and 2’s? Do you see a pattern emerge?
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