(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

City has 500 000 citizens. One citizen knows a gossip. After 10 minutes, he tells that gossip to another 2 citizens. Those 2 citizens tell that gossip to another 2 citizens(both of them tell 2 citizens). After what time whole city will know the gossip?

2. Relevant equations

3. The attempt at a solution

Problem here is after how much iterations, whole city will know the gossip.

[itex]\sum 2^{i}= 500 000[/itex] where sum goes from i=0 to n. n are number of iterations i am looking for.

1+2+4+8+...=500 000

Problem is, I don't know how to find them, without using c++ :)

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# Homework Help: Exponential growth

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