How many product?
Number Theory
Level
4
\[ \large 1 \times 2,2 \times 3,3 \times 4, \ldots , n \times (n+1)\]
For some integer \(n\), if the sum of the last digits of all of the numbers given above equals to 2010, find the sum of all the possible values of \(n\).
by
Kaito Einstein