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Math Help - Sigma notation factorials

  1. #1
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    Sigma notation factorials

    Hi , I'm totally lost on this question and answer attached . Please the full simplified working for both parts would be greatly appreciated .

    Thank you
    Attached Thumbnails Attached Thumbnails Sigma notation factorials-question.png   Sigma notation factorials-answer.png  
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  2. #2
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    Re: Sigma notation factorials

    1. (r+1)! - (r-1)! = (r+1)r(r-1)! - (r-1)! Take (r-1)! as common factor and simplify.

    2. Just expand : 2! - 0! +
    3! - 1! +
    4! - 2! +
    ......
    (n-1)! - (n-2)! +
    n! - (n-2)! +
    (n+1)! - (n-1)!

    Cancel the terms ans add the rest.
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  3. #3
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    Re: Sigma notation factorials

    Hi , thank you for part a) and the terms in b) but I am still struggling with how they arrive at the proof given after cancelling the terms .
    Any help would be appreciated .

    Thank you
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  4. #4
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    Re: Sigma notation factorials

    The terms that are not cancelled are (n+1)! + n! - 1! -0! = n!(n+1+1) - 2. Hope this helps!
    Thanks from minicooper58
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  5. #5
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    Re: Sigma notation factorials

    Quote Originally Posted by minicooper58 View Post
    Hi , I'm totally lost on this question and answer attached . Please the full simplified working for both parts would be greatly appreciated .

    Thank you
    Please show some of you own work on the problem before you post the question. This is not a homework answering service.

    -Dan
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