Step | Label | Description |
---|---|---|
1 | Basis (or Base Case) | Demonstrate that P(0) is true; i.e., show that property P is true for 0. |
2 | Induction Hypothesis | Assume that P(k) is true for an unspecified integer k. |
3 | Inductive Step | Under this assumption, show that P(k+1) is true. |
4 | Conclusion | P(n) holds for all integers n ≥ 0. |
Step | Label | Description |
---|---|---|
1 | Basis (or Base Case) | Demonstrate that P(0) true; i.e., show that property P is true for 0. |
2 | Induction Hypothesis | Assume that P(k) is true for for all k less than an unspecified integer n. |
3 | Inductive Step | Under this assumption, show that P(n) is true. |
4 | Conclusion | P(n) holds for all integers n ≥ 0. |