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    So, as basically anyone who has done FP1 knows, there are many standard formulae for the summation of n, n^2 and n^3 and so on.

    Summation from n = 1 to n = k for n^2 would be n(n+1)(2n+1)/6, and so on.

    But is there a standard formula for the summation of the reciprocals, i.e:

    Summation from n = 1 to n = k for 1/n

    Many thanks.
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    This is a harmonic progression and I do not think it is on the syllabus. I do not think there is a formula but there are approximations with logs in.
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    (Original post by Dermatome)
    So, as basically anyone who has done FP1 knows, there are many standard formulae for the summation of n, n^2 and n^3 and so on.

    Summation from n = 1 to n = k for n^2 would be n(n+1)(2n+1)/6, and so on.

    But is there a standard formula for the summation of the reciprocals, i.e:

    Summation from n = 1 to n = k for 1/n

    Many thanks.
    Nopes. You're dabbling dangerously close to maths we don't know much about; let alone be in a FP1 syllabus. Have a look at the Riemann Zeta function for more fun.
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    (Original post by Zacken)
    Nopes. You're dabbling dangerously close to maths we don't know much about; let alone be in a FP1 syllabus. Have a look at the Riemann Zeta function for more fun.
    Lol.

    I know only a very small amount about Riemann's Hypothesis. It goes beyond my understanding of maths, but at least it is related to FP1 in the sense that complex numbers are involved. :teehee:
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    (Original post by nerak99)
    This is a harmonic progression and I do not think it is on the syllabus. I do not think there is a formula but there are approximations with logs in.
    (Original post by Zacken)
    Nopes. You're dabbling dangerously close to maths we don't know much about; let alone be in a FP1 syllabus. Have a look at the Riemann Zeta function for more fun.
    Many thanks for both of your replies.
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    (Original post by Dermatome)
    Many thanks for both of your replies.
    There is a lot of nice things that can be done with harmonic progression without even dreaming of any zeta functions although if you want to sound good then the Riemann anything is a good place to go.
 
 
 
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