14) What is the primary goal of mathematical induction?a) To derive the quadratic formulab) To calculate areas under curvesc) To prove statements for all natural numbersd) To solve algebraic equations

18) Why might a mathematician choose to use mathematical induction to prove a statement?a) To prove the statement for an infinite number of casesb) To find the roots of a polynomialc) To disprove a conjectured) To solve a system of equations

15) In mathematical induction, what is the purpose of the base case?a) To provide a general formulab) To disprove the given statementc) To provide a starting point for the inductiond) To solve for unknown variables

17) Why is the inductive hypothesis important in mathematical induction?a) It calculates numerical valuesb) It sovles for unknown variablesc) It provides a basis for proving the inductive stepd) It disproves the given statement

16) What is proven in the inductive step of mathematical induction?a) The statement holds for all real numbers.b) The statement holds for an arbitrary case.c) The statement holds for the next case, given it holds for a particular case.d) The statement holds for the base case.

A standard technique used for proving an algorithms correctness is to use ________Question 4Answera.Mathematical Theorem proofb.Hypothesis testc.all of the aboved.Mathematical induction