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Math Help - Exponential Growth

  1. #1
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    Aug 2008
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    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?
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  2. #2
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    Joined
    Sep 2008
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    Hello,

    To your question

    "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:

    [LaTeX ERROR: Convert failed]

    where n is the number of years.
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