What makes a number binomial?: Introduction

Find the sum of the next 6 numbers in the following sequence:

1 , 1 , 1 , 1 , 2 , 1 , 1 , 3 , 3 , 1 , 1 , 4 , 6 , 4 , 1 \large1,1,1,1,2,1,1,3,3,1,1,4,6,4,1


The answer is 32.

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2 solutions

Lucca Vidal
Jun 12, 2014

The numbers are the Pascal's triangle lines starting from the top:

The next line is: 1 5 10 10 5 1 Hence,the sum is 1+5+10+10+5+1=32

Abdul Rakib
May 29, 2014

Next six numbers are 1,5,10,10,5,1.so,sum of the numbers are 32.

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