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INeedHelpPlease?

  • 2 years ago

How to find nth term of the series,and therefore Sum of n terms?

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  1. INeedHelpPlease?
    • 2 years ago
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    \[\Large S_n=\frac{1}{1.4} + \frac{1}{4.7} + \frac{1}{7.10}..n \]

  2. INeedHelpPlease?
    • 2 years ago
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    @hartnn

  3. hartnn
    • 2 years ago
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    n'th term 1/n(n+3)

  4. INeedHelpPlease?
    • 2 years ago
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    but that doesn't match for n=3?

  5. hartnn
    • 2 years ago
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    |dw:1389456863526:dw| do this for every term

  6. hartnn
    • 2 years ago
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    yeah, 1/n(n+3) will not work,

  7. hartnn
    • 2 years ago
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    that "...n" implies thatere are total n terms ?

  8. INeedHelpPlease?
    • 2 years ago
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    yep

  9. hartnn
    • 2 years ago
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    3n-2 3n+1

  10. hartnn
    • 2 years ago
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    1/ [ (3n-2)(3n+1)] this works ?

  11. INeedHelpPlease?
    • 2 years ago
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    how did u think of that ? :|

  12. INeedHelpPlease?
    • 2 years ago
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    works i guess

  13. hartnn
    • 2 years ago
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    easy difference of 3 so multiple of 3 1..4...7..are all 1 less than multiple of 3

  14. hartnn
    • 2 years ago
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    ***two less than

  15. hartnn
    • 2 years ago
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    did u get what to do for each term ? partial fraction kind of thingi

  16. INeedHelpPlease?
    • 2 years ago
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    how do i find Sn now? partial fraction?i remember it kinda - 1/3((3n-2)-(3n+1))/(3n-2)(3n-3) ?

  17. hartnn
    • 2 years ago
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    did u get what i did in the drawing ?

  18. INeedHelpPlease?
    • 2 years ago
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    which drawing O_O

  19. hartnn
    • 2 years ago
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    if yes, do it for 2nd term and tell me what u get

  20. INeedHelpPlease?
    • 2 years ago
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    why did u do that?

  21. INeedHelpPlease?
    • 2 years ago
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    1/4=3/4?

  22. hartnn
    • 2 years ago
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    i'll correct it , wait

  23. hartnn
    • 2 years ago
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    |dw:1389457539226:dw|

  24. hartnn
    • 2 years ago
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    do the same thing for 2nd term, then 3rd term, and observe what happens, then you'll know why that was done

  25. INeedHelpPlease?
    • 2 years ago
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    okay

  26. hartnn
    • 2 years ago
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    did you get your sum ?

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