Home › AP EAPCET (Engineering) › Mathematics › Mathematical Induction › Why can the coin proof not start at 11 dollars?
Why can the coin proof not start at 11 dollars?
AFive-dollar coins are unusable
BThe step needs only even k
CEleven is too large a base
DThe base case is false at 11
Answer & Solution
Correct answer: D. The base case is false at 11
Eleven dollars cannot be made from 4s and 5s, so the base case itself is false.
Related questions
Which pair of tools finishes the step for |sin nx| <= n|sin x|?The flawed horse argument claims that all horses are what?If natural numbers are taken to begin at 1, the base case uses which value?In Peano's axioms, the successor of a natural number x is which?A claim is to be proved for all n >= 3. What is the base case?The step from P(k) to P(k + 1) is proved, but P(1) is false. What follows?Moving a sum 1 + 2 + ... + n from k terms to k + 1 terms, which term joins?Sum the triple products 1x2x3, 2x3x4, and so on up to 6x7x8.