TADM2E 2.33

From Algorithm Wiki
Revision as of 14:41, 2 March 2015 by Ccamenares (talk | contribs) (For row 1, the sum is 1. So, the formula 3^n is incorrect. Instead, 3^(n-1) is correct.)
Jump to: navigation, search

On careful observation , one can see that the sum of any row is just $ 3^(n-1) $ this is the sum for the series . This can even be computed using a series as shown below

1=a0
1 1 1 
a1 a0 a2

now a(mid) of the next line becomes the a(0) +a(1) +a(2) that it this mid element is always the sum of the middle three elements