Question
The following numbers are written on the board:
`1,2^1,2^2,2^3,2^4,2^5`
In one operation, you are allowed to erase two numbers written on the board and write their (non-negative) difference in their place.
Is it possible to reach a state, through such operations, where only the number `15` is written on the board?
Difficulty level (1 very easy - 10 very hard): 2
Topics:
Arithmetic
Proof and Example
->
Constructing an Example / Counterexample
Algebra
->
Sequences
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