Look for patterns instead of writing 2015 rows of Pascal's triangle

What is the sum of all the numbers in the 2015th row of Pascal's triangle?

If the answer can be represented in the from a b a^{b} , find a + b a+b


The answer is 2016.

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1 solution

Geoff Pilling
Oct 15, 2018

The sum of the nth row is 2^(n-1).

2 + 2015 - 1 = 2016

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