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Thread: Ap

  1. #1
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    Lightbulb Ap

    If the m times of the m th term of an ap is equal to the n times of the n th term, then find the (m+n)th term.
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  2. #2
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    Re: Ap

    "The m of the mth term"? Do you mean just "m times the mth term"? The "mth term" of an arithmetic progression is a+ (m-1)d where "a" is the first term, and "d" is the common difference. "m times the mth term" would be m(a+ (m-1)d= (a+d)m- dm^2 and "n times the nth term" would be n(a+ (n-1)d)= (a+d)n- dn^2. If those are equal, (a+ d)m- dm^2= (a+ d)n- dn^2. (a+ d)m- (a+d)n= dm^2- dn^3. (a+ d)(m- n)= d(m^2- n^2)= d(m+ n)(m- n).
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  3. #3
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    Re: Ap

    Would you like fries with that?
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  4. #4
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    Re: Ap

    Ap-img_20180112_163041.jpg
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  5. #5
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    Re: Ap

    Makes no sense to me...

    Can you provide an example?
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