Find the sum of the numbers in each row of the first ten rows of Pascal's Triangle. Do you see a pattern?
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Pascal's Triangle is a triangular array of numbers where each number is the sum of the two numbers directly above it. Show more…
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If you sum the entries in each row of Pascal's triangle, a pattern emerges. Find a formula that generalizes the result for any row of the triangle, and use it to find the sum of the entries in the 12 th row of the triangle.
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FINDING PATTERNS WITH SUMS 1. Find the sum of the elements in each of the first seven rows of Pascal's triangle. Fill in the table below with your answers. 2. State the pattern that you see in the sums. 3. How would you describe the sum of the row in terms of the row number? 4. Can you express the sum of elements in the 10th row? The 25th row? The 100th row? The nth row? 5. Find the sum of all the elements in Pascal's triangle down to and including the first 6 rows. Fill in the table below. 6. If you see a pattern, fill in the following table without adding all the elements.
Donna D.
Write 10 lines of the Pascal Triangle, starting with 1
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