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When attempting to prove for all positive integers n>1, n can be expressed as 2x+3y for some non-negative integers x,y by the strong form of
When attempting to prove for all positive integers n>1, n can be expressed as 2x+3y for some non-negative integers x,y by the strong form of the Principle of Mathematical Induction, one needs to show that it works in two base cases, n=2 and n=3. In the inductive step, what should the inductive hypothesis be, after declaring that k is an integer greater or equal to 3? o Assume, for some integer i between 2 and k, that i can be expressed as 2x+3y for some non-negative integers x,y. o Assume k can be expressed as 2x+3y for some non-negative integers x,y. O Assume k-1 can be expressed as 2x+3y for some non-negative integers x,y. Assume, for all integers i between 2 and k, that i can be expressed as 2x+3y for some non-negative integers x,y. O Assume, for all integers k>1, that k can be expressed as 2x+3y for some non- negative integers x,y
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