Question

Prove by PMI n^2-7n+3 is divisible by 3​

Answer 1

Answer:

Let P(n): n3 – 7n + 3 is divisible by 3, for all natural numbers n. Now P(1): (1) – 7(1) + 3 = -3, which is divisible by 3. Hence, P(1) is true. ... So, by the principle of mathematical induction P(n) is true for all natural numbers n