89.5k views
5 votes
What is the row of sum 8192 in Pascal's triangle?​

User Jon Lamb
by
3.4k points

1 Answer

4 votes

9514 1404 393

Answer:

row 13

Explanation:

The sum of row n is 2^n, so the row number with a particular sum is ...

2^n = sum

n·log(2) = log(sum)

n = log(sum)/log(2)

The row with sum 8192 is ...

n = log(8192)/log(2) = 13

The row of Pascal's triangle that has a sum of 8192 is row 13.

User Sysrpl
by
3.9k points