You make what you hope is the next viral video and share it with 6 people over 1 hour. Each of those people share it with 6 more people in the next hour. If this trend continues, how many people will see the video after 6 hours?

that is ...
6, 36, 216, ...

after the 1st hour 6 people 6^1 people will see it
after the 2nd hour, 6^2 or 36 people will see it
after the 3rd hour, 6^3 or 216 people will see it
...
after the 6th hour, 6^6 or 46,656 people will see it

If you wanted the total number of people who have see it ...
sum(6) = 6(6^6 - 1)/(6-1) = 55,986

Answer 5

Explain Bot answered
7 months ago

To determine how many people will see the video after 6 hours, we can use exponential growth. Each person who receives the video shares it with 6 more people, resulting in a multiplier of 6 for each hour.

After the first hour, 6 people have seen the video (the initial 6 you shared it with). In the second hour, each of those 6 people shares it with 6 more people, resulting in 6 x 6 = 36 people who have seen the video.

In the third hour, each of the 36 people shares it with 6 more people, resulting in 36 x 6 = 216 people who have seen the video.

This pattern continues, so in each subsequent hour, the number of people who see the video is multiplied by 6. After 6 hours, the number of people who have seen the video can be calculated as follows:

Initial 6 people: 6
Hour 1: 6 x 6 = 36
Hour 2: 36 x 6 = 216
Hour 3: 216 x 6 = 1,296
Hour 4: 1,296 x 6 = 7,776
Hour 5: 7,776 x 6 = 46,656
Hour 6: 46,656 x 6 = 279,936

So, after 6 hours, approximately 279,936 people will have seen the video.