A student wants to conduct an experiment to see how quickly information can travel. On Day 1 of the experiment, the student tells three friends a personal fact. On Day 2, those three friends share the fact with three new people each. Assuming this pattern continues, how many people will hear the fact on Day 7 of the experiment?

Question

Mathematics

Marina Gentry

24 July, 22:40

A student wants to conduct an experiment to see how quickly information can travel. On Day 1 of the experiment, the student tells three friends a personal fact. On Day 2, those three friends share the fact with three new people each. Assuming this pattern continues, how many people will hear the fact on Day 7 of the experiment?

+1

Answers (1)

Know the Answer?

Hillary Stark · Answer 1

3 people know a fact in 1st day.

In 2nd day they share it with 3 people each=3*3

Now 3*3 people shares it with 3 people each. and so on ...

So,

3+3²+3³+3⁴+3^5+3^6+3^7

=3279 no of people altogether, will hear from 1st day to 7th day ...

On the day 7, no of people who will hear the fact=3^7=2187