Recent content by aquariss

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    Mathematica Is Mathematical Induction Sufficient to Prove n^2-n+2 Is Even for All Integers?

    :) hmm...My suggestion : N^2 - N + 2 = N(N-1) + 2 For any integer N, if N is even , (N-1) is odd therefore N(N-1) is divisible by 2 and is an even #, so , N(N-1) + 2 is even For any integer N, if N is odd , (N-1) is even therefore N(N-1) is divisible by 2 and is an even #, so ...
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    Odd Numbers Starting with Even Number ≤ 100,000

    not sure if you have learned how to use AP to tackle this qns. 2 4 6 8 For numbers starting with 2, we have 2, (20-29) , (200-299), (2000-2999), (20000-29999) same for 4 6 and 8 For odd # starting with 2 : For 2, 0 For 20-29, 1st odd term is 21 , d is 2, last term is 29...
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