Problem 1 Let a and b be real numbers such that n 2 ( a b 2 ) n a n b n 2 n 1 , a b n b a n 3 marks ( c ) For all natural numbers n 2 , 3 marks ( a b 2 ) n a n b n 2 Note I f you use methods other than mathematical induction, you will not receive credit n 1 , 0 2 marks ( b ) For all natural numbers n 1 , a b n b a n 3 marks ( c ) For all natural numbers n 2 , 3 marks ( a b 2 ) n a n b n 2 Note I f you use methods other than mathematical induction, you will not receive credit 0 Using mathematical induction prove ( a ) For all natural numbers n 1 , 0 2 marks ( b ) For all natural numbers n 1 , a b n b a n 3 marks ( c ) For all natural numbers n 2 , 3 marks ( a b 2 ) n a n b n 2 Note I f you use methods other than mathematical induction, you will not receive credit

Question

Problem 1   Let a and b be real numbers such that n 2 ( a   b 2 ) n a n   b n 2 n 1 , a b n   b a n     3 marks   ( c ) For all natural numbers n 2 ,   3 marks   ( a   b 2 ) n a n   b n 2 Note  I f you use methods other than mathematical induction, you will not receive credit  n 1 , 0     2 marks   ( b ) For all natural numbers n 1 , a b n   b a n     3 marks   ( c ) For all natural numbers n 2 ,   3 marks   ( a   b 2 ) n a n   b n 2 Note  I f you use methods other than mathematical induction, you will not receive credit   0   Using mathematical induction prove  ( a ) For all natural numbers n 1 , 0     2 marks   ( b ) For all natural numbers n 1 , a b n   b a n     3 marks   ( c ) For all natural numbers n 2 ,   3 marks   ( a   b 2 ) n a n   b n 2 Note  I f you use methods other than mathematical induction, you will not receive credit

SolutionInn · Accepted Answer

The Answer is in the image, click to view ...

Question: Problem 1 : Let a and b be real numbers such that n 2 ( a + b 2 ) n a n + b

Step by Step Solution

Students Have Also Explored These Related Programming Questions!