Numbers in a Triangle.
Number Theory
Level
2
In the diagram above, in which row does the number 2018 appear?
60
61
62
63
64
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1 solution
Notice that every k t h row ends with the number 2 k × ( k + 1 ) .
By inspection, row 6 3 ends with the number 2 0 1 6 , since 2 6 3 × 6 4 = 2 0 1 6 ⟹ row 6 4 contains the number 2 0 1 8 .