How to Make a Pascal's Triangle
Start by writing down the number 1.; , Place two more ones to get started on the next line. , Learn how to construct new lines following the first two lines that were just ones., Find the interior numbers using the numbers above them., Look for...
Step-by-Step Guide
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Step 1: Start by writing down the number 1.;
For every new line, you will have one more number than the previous one.
Each outside number is a 1 every time. , Each inside number can be found by adding the two numbers above it.
For example, The middle number on the third line of Pascal's Triangle is 1+1=2. , You will notice many interesting patterns that form as you build the layers of your triangle.
The one row consists of only ones.
The following rows consist of the counting numbers, followed by the triangular numbers.The sum of the numbers in each row (with row number given) is about the answer of 2 to that number expressed as an exponent (uses base-2).Keeping in mind that the first number in any row is the 0th element 1, if you take the next number in that row and divide all the other elements in that row, you'll see that the items are evenly divisible by the row number expressed.
Each line of the Pascal's triangle, has a direct effect on being shown using a base number to the power of the row number, with a few exceptions.
Some rows where the next box contains one or more numbers for the box, the tens place gets added to the box to the left of it.Look for the symmetrical pattern in the Triangle.. -
Step 2: Place two more ones to get started on the next line.
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Step 3: Learn how to construct new lines following the first two lines that were just ones.
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Step 4: Find the interior numbers using the numbers above them.
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Step 5: Look for patterns in the triangle.
Detailed Guide
For every new line, you will have one more number than the previous one.
Each outside number is a 1 every time. , Each inside number can be found by adding the two numbers above it.
For example, The middle number on the third line of Pascal's Triangle is 1+1=2. , You will notice many interesting patterns that form as you build the layers of your triangle.
The one row consists of only ones.
The following rows consist of the counting numbers, followed by the triangular numbers.The sum of the numbers in each row (with row number given) is about the answer of 2 to that number expressed as an exponent (uses base-2).Keeping in mind that the first number in any row is the 0th element 1, if you take the next number in that row and divide all the other elements in that row, you'll see that the items are evenly divisible by the row number expressed.
Each line of the Pascal's triangle, has a direct effect on being shown using a base number to the power of the row number, with a few exceptions.
Some rows where the next box contains one or more numbers for the box, the tens place gets added to the box to the left of it.Look for the symmetrical pattern in the Triangle..
About the Author
Virginia Martin
With a background in digital media and internet, Virginia Martin brings 14 years of hands-on experience to every article. Virginia believes in making complex topics accessible to everyone.
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