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Mazdak Farrokhzad edited a) Number of blits.tex
about 10 years ago
Commit id: f45b39901f7710a0f18f7e3644fcca3612ae6b05
deletions | additions
diff --git a/a) Number of blits.tex b/a) Number of blits.tex
index 51f4769..7cdf737 100644
--- a/a) Number of blits.tex
+++ b/a) Number of blits.tex
...
\end{subequations}
Given that:
\begin{equation} \begin{equations}
\begin{split}
T(2^n) &= sum(5 * 4^i, i = 0, n-1)\
&= 5 sum(4^i, i = 0, n-1)
...
&= (5 - 5 * 4^n)/(-3)
&= (5 * 4^n - 5) / 3
\end{split}
\end{equation} \end{equations}
Then:
T(2^(n+1)) = 5 + 4 ((5 * 4^n - 5) / 3) = 5 + (5 * 4^(n+1) - 4*5) / 3 = (5 * 4^(n+1) + 3 * 5 - 4 * 5) / 3 = (5 * 4^(n+1) - 5) / 3