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