# Exponential Growth

• Aug 25th 2008, 04:28 PM
mattyd27
Exponential Growth
Hi there

I've been wondering about this for a while now. Someone in my church told me this but I have no way of working it out. Could someone please help me?

I know this isn't REALLY business maths but I figured you guys would be the best to know.
It goes like this:

If I mentor one person a year for 35 years and teach each person to mentor someone else, who in turn teaches the next person to mentor, etc... how many people would I have reached in 35 years?
• Sep 10th 2008, 02:54 PM
jccc
Hello,

Quote:

"If I mentor one person a year for 35 years and teach each person to mentor someone else, who in turn teaches the next person to mentor, etc... how many people would I have reached in 35 years?"

I calculated that you would have 34,359,738,367 "mentees."

The following steps explain how I got that answer. After one year there would be one mentee, after two years there would be total three mentees (one mentee that you did the second year + the first year mentee + the mentee of your first mentee).

The formula that I used is as follows:

\$\displaystyle {2*(2^{n-1}))}-1 \$

where n is the number of years.