cute maths problem

Off topicOther → cute maths problem

CHALLENGE

A cool exercise I’ve had during one of those “french oral maths tests”


n is a positive integer P is a polynomial such that

  • the degree of P is in ⟦0, n-1⟧
  • for all k in ⟦1, n⟧, P(k) = 1/k

What is P(n+1) ? A “short and simple” expression for the answer is expected and, of course, show how you did it c: