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  • Perplex
    IB Math AAHL
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    Proof and Reasoning
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    Proof and Reasoning

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    IB: 4
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    Prove that if x is even and y is odd, then 5x−7y is odd.

    [4]
    2

    0 / 6

    The first three terms of an arithmetic sequence are u1​, −8+u1​ and 5u1​.

    1. Show that u1​=−4.

      [2]

    The sum of the first n terms of the sequence is Sn​.

    1. Show that √−Sn​​ is an integer for all n.

      [4]

    Lessons

    Feeling shaky on the material? Check out a lesson:

    Thumbnail for Proof by deduction

    Introduction to the concept of proofs, proof by deduction, and proof with even and odd numbers.

    Proof by deduction
    Thumbnail for Proof by induction

    The concept of a proof by induction with different types of examples.

    Proof by induction (Plus Only)
    Thumbnail for Contradiction and Counterexamples

    So far, we have learned to prove that statements are true. In this lesson, we learn strategies to prove that statements are not true.

    Contradiction and Counterexamples (Plus Only)