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Math Help - What does this mean?

  1. #1
    Junior Member
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    What does this mean?

    Okay,
    On my math problem, there's a sign that looks like a big E, with a little six above it, and n=0 below it. Right by that sign, there is 3(-4)n , with the "n" as a superscript. What does that mean, and how do I solve it? Sorry if this doesn't make sense, I'm rather confused myself... Also, I have the answer : 9831
    if that helps anyone. Thank you.
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, Averee!

    Question: Why are you doing summation problems when you know nothing about them?

    . 6
    .
    3(-4)^n
    n=0


    It means: evaluate the expression for n = 0,1,2,3,4,5,6 . . . and add.


    We have: .3(-4)^0 + 3(-4)^1 + 3(-4)^2 + 3(-4)^3 + 3(-4)^4 + 3(-4)^5 + 3(-4)^6

    . . . . . = . 3(1) + 3(-4) + 3(16) + 3(-64) + 3(256) + 3(-1024) + 3(4096)

    . . . . . = . 3 - 12 + 48 - 192 + 768 - 3072 + 12,288

    . . . . . = . 9831

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  3. #3
    Junior Member
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    Mar 2007
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    Haha, thank you Soroban. That makes sense. To answer your question, it is a problem on a practice test our teacher gave us - and it's pretty hard to search for an answer on the internet when you have no idea what it is. I'm glad you understood though. Thanks again.
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