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Exponential function-Solution

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    Exponential function-Solution

    I have been trying to solve a mathematical problem using excel. But do no reach anywhere. Could any one please suggest a method in excel. Thanks in advance for the help.

    The problem is finding the value for 'a' in the equation. a^-18+a^-19+a^-20+.....+a^-48=1

  2. #2
    Forum Expert XOR LX's Avatar
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    Re: Exponential function-Solution

    Hi,

    Put a value of 1 in A1.

    Put this formula in B1:

    =SUMPRODUCT(A1^-ROW(INDIRECT("18:48")))

    Then use Solver with:

    Set Objective: $B$1
    To: Value Of: 1
    By Changing Variable Cells: $A$1

    I get a value of 1.127278728.

    Regards
    Click * below if this answer helped

    Advanced Excel Techniques: http://excelxor.com/

  3. #3
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    Re: Exponential function-Solution

    XOR LX has proposed the solution I would use. The only caution I would add to his solution is that you may need to take careful consideration of round-off error. If you have ever seen any discussion on summing a harmonic series like this, you have probably seen that you should structure the addition to work from small to large rather than from large to small (example discussion here: http://stackoverflow.com/questions/7...g-harmonic-sum). I used the SERIESSUM() function instead of SUMPRODUCT() (should not matter which one you use). Using XOR LX's results of 1.1272..., when I add it up from -18 to -48, I get 1.0028. When I sum it up from -48 to -18, I get 1.1304. In a case like this, you need to pay attention to round off error or you will get a wrong (or less accurate) result.
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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