Throwing Number
Computer Science Level 4Consider the sequence of positive integers \(1,2,3,4,5,6, \ldots \). An operation throw
consists of taking the first number \(k\) and move it to the back of the \((k+1)^\text{th}\) number. For example,
1 2 3 4 5 6 

Let \(S\) be the first sequence that has number 1000 as its leading number. What is the last 3 digit of \(S\)?
Bonus: How about the second sequence that has number 1000 as its leading number?
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