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On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd, four people have heard the rumor. On each subsequent day, each person who has heard the rumor spreads it to a new person.

Guest Mar 20, 2017
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Since you didn't exactly finish the question I assume you want to know the number of people that have heard the rumor after some number of days.

 

To start, let y = the number of people that have heard the rumor and n = the number of days that have passed.

 

For n = 1; y = 2

n = 2; y = 4

n = 3; y = 8

etc.

 

Looking at this, a pattern jumps out at me.  For the first y, we get 2; the second y gets 4 (2*2); the third y gets 8 (2*2*2).  From this, we can construct a simple equation to show the number of people that have heard the rumor after n days: y = 2^n.

 

Hope this helps!

Guest Mar 20, 2017

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