Question

prove by mathematical induction 41ⁿ-14ⁿ is a multiple of 27

Answer 1

Answer:

41ⁿ - 14ⁿ is a multiple of 27. Let P (k) be true for some natural number k, ... = 27 (41a + 14k ), which is a multiple of 27. Thus P (k + 1) is true, whenever P (k) is true.