Mathematics Quiz (One question every week)


Question 96: (June 20th, 2015) Logic question



In a town there are one million people. One of the social worker started with $3 donation
and make another three citizens deposit $3 each. Each one of those 3 citizens made another 3 citizens
deposit $3 each. In this pattern, how many cycles does it require to cover all the citizens?
Social worker is in the first iteration, next three being in second iteration and so on.
Let us assume no one denies to deposit and every citizen deposit only once and contacts exactly 3.
In last iteration some of them may contact one or two or three as there may not be enough people to cover.




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