Students use inductive proof to verify the rule they establish for the tetrahedral numbers and also the sum of whole numbers squared.
- Tetrahedral numbers
- Triangular numbers
About the Lesson
In this activity students explore the tetrahedral numbers and develop formulas from diagrams, Pascal's triangle and prior knowledge (Triangular Numbers). Once students have established a reliable formula they use inductive proof to show that the formula works for all values of n. Additional inductive proofs are included on related patterns including the sum of whole numbers squared.