Row 6 of Pascal's triangle is 1, 6, 15, 20, 15, 6, 1…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Row of Pascal's triangle is . Write row by adding neighbours. Then find the largest number in row and the sum of all the numbers in it.
Need a reminder? The key ideaShow
, with terms. The coefficients are row of Pascal's triangle, and each row adds up to . For the signs alternate.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Add neighbours. . So row is .
Step 2. The largest. , in the middle.
Step 3. The sum. , which is .
Answer: the largest number is and the sum is .
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