Pascal’s Triangle Entries

Pascal’s Triangle Entries

Pascal’s triangle is built row by row. Each new entry is found by adding the two entries directly above it. The edges are always 1.

Method

1. Start with the top row: the triangle begins with 1.
2. Use the edge rule: every row starts and ends with 1.
3. Add neighbors for middle entries: each interior number is the sum of the two numbers above it.
4. Work carefully row by row until you reach the needed entry.
5. Simplify the final answer if the entry is written in a form that can be reduced.

Example of the pattern

• Row 1: 1
• Row 2: 1 1
• Row 3: 1 2 1
• Row 4: 1 3 3 1

Check your work

After filling a row, verify that:

• the first and last entries are 1,
• each middle entry matches the sum of the two numbers above it,
• the row is symmetric, so the numbers read the same from both ends.

If your answer does not satisfy these checks, go back and rebuild the row carefully.