Pascal Triangle fun 25
Level
2
Find the sum of all numbers in the pascal triangle from the first row to the 25th row inclusive.
Clarifications
For example, the sum of all numbers from the first row to the fourth row inclusive is 1+1+1+1+2+1+1+3+3+1 = 15
The answer is 33554431.
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each row in pascals triangle has a sum of 2^(n-1) For e.g., first row 1 second row 2(1+1)...... So for n rows the sum would be 1+2+4+.....2^(n-1) =1{2^(n-1+1)-1}/2-1 =1{2^(n)-1} so on substituting n=25 we have 2^(25)-1 which gives 33554431 as the answer