Question 372184
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^9]


is the number of branches that grew during the last year, but you need that plus the previous year plus the year previous to that...and so on back to the beginning.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^9\ +\ 2^8\ +\ \cdots\ +\ 2\ +\ 1]


But since


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^n\ +\ 2^{n-1}\ \cdots\ +\ 2\ +\ 1\ =\ 2^{n+1}\ -\ 1]


You need


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  2^{10}\ -\ 1\ =\ 1024\ -\ 1\ =\ 1023]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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