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Ava asked in Science & MathematicsMathematics · 3 months ago

Write the series as a summation in Sigma Notation?

The integers between 10 and 99, inclusive

Update:

I forgot to mention that under the sigma notation is k=0. I see the answers given have either j=10 or i=10 but it needs to be 0...

5 Answers

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  • ?
    Lv 7
    1 month ago

    10 + 11 + ... + 98 + 99 

     sum_(n=1)^90(n + 9) = 4905

  • 3 months ago

    Write down the terms. You are directed to start with the "zeroth" term (k=0):

    a[0] = 10

    a[1] = 11

    a[2] = 12

    ...

    a[89] = 99

    In general, we can describe a term as:

    a[k] = 10+k

    We simply need to go from 0 to 89, adding that term (10+k)

    89

    ∑ ... 10+k

    k=0

  • ?
    Lv 7
    3 months ago

    There is also 

    89

    ∑(10+i)

    i=0

  • ?
    Lv 7
    3 months ago

    99

    ∑ j

    j=10

    = 10+11+12...+98+99

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  • 3 months ago

    10 + 11 + ... + 98 + 99 =

    99

    ∑ i

    i=10

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