SOLUTION: Hugh Moore makes up a joke and tells it to his 5 closest friends on Sunday morning. Each of those friends tells his or her 5 closest friends on Monday morning, and so on. Assuming

Algebra ->  Sequences-and-series -> SOLUTION: Hugh Moore makes up a joke and tells it to his 5 closest friends on Sunday morning. Each of those friends tells his or her 5 closest friends on Monday morning, and so on. Assuming       Log On


   

Question 447631: Hugh Moore makes up a joke and tells it to his 5 closest friends on Sunday morning. Each of those friends tells his or her 5 closest friends on Monday morning, and so on. Assuming no duplication, how many people will have heard the joke by the end of Saturday?
If you could help me with this problem, I would appreciate it.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
On Sunday morning 5 people have heard the joke
Each of the 5 tell 5 people on monday AM, so
+5%2A5+=+25 have heard it
Each of these +25+ tell 5 on tuesday AM, so
+5%2A5%2A5+=+125+ have heard it
By wed AM: +5%5E4+=+625+ have heard it
By thurs AM +5%5E5+=+3125+ have heard it
By fri AM +5%5E6+=+15625+ have heard it
By sat PM +5%5E7+=+78125+ have heard it