Tuesday, 27 June 2017

binomial coefficients - What is the sum of the second numbers in the first 100 rows of Pascal's triangle (excluding the first row)?


What is the sum of the second numbers in the first 100 rows of Pascal's triangle (excluding the first row, the row containing a single 1)? The sum should be from the second to the hundredth row.





Pascal's triangle



Starting from the second row, I initially thought this meant you count from the left two numbers. So it would be 1+2+3+4++99

This means I get 4950. I thought this would be too simple of a solution.



Could someone tell me if the addition I did above is all the question is asking from me?

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