I have a remarkable plant. It grows very rapidly, you see. At the end of the first day it had
increased its height by a factor of 1/2. At the end of the second day it had increased its height
by a factor of 1/3 beyond where it was at the end of the first day. At the end of the third day
it had increased its height by a factor of 1/4
beyond where it was at the end of the second day.
This pattern continues, so that by the end of the n-th day, the plant has increased its height
by a factor of 1/n+1 beyond where it was at the end of the day before. How many days did it
take to grow to one hundred times its original height?
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Verified answer
I can see how this landed in Botany, but you'll do better with it if you post it in Math. Right before you submit your question, there's an opportunity on the right of the page to choose both a category and sub-category. Good luck!