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Pascal's Pyramid

Category: Mathematics

Level: SS2

Syllabus topic: SS2 Binomial Expansion and Sequences

Description: A triangular array of numbers showing binomial coefficients.

📝 Exam Key Points
  1. Pascal's triangle gives the coefficients of (a + b)ⁿ; row n has n + 1 entries.
  2. Each entry is the sum of the two entries above it, and equals nCr = n! / (r!(n − r)!).
  3. Row n sums to 2ⁿ; the 3D pyramid extends the idea to (a + b + c)ⁿ.

Pascal's Pyramid

Mathematics · SS2

Syllabus topic: SS2 Binomial Expansion and Sequences

Key Exam Points

  1. Pascal's triangle gives the coefficients of (a + b)ⁿ; row n has n + 1 entries.
  2. Each entry is the sum of the two entries above it, and equals nCr = n! / (r!(n − r)!).
  3. Row n sums to 2ⁿ; the 3D pyramid extends the idea to (a + b + c)ⁿ.

Student Notes

Scan to view the 3D model