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anonymous

  • one year ago

Evaluate S5 for 600 + 300 + 150 + … and select the correct answer below.

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  1. anonymous
    • one year ago
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    1,162.5 581.25 37.5<--my answer 18,600

  2. anonymous
    • one year ago
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    @surjithayer

  3. anonymous
    • one year ago
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    it should be greater than 1050 600+300+150+75+37.5=?

  4. anonymous
    • one year ago
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    I suppose so? Isn't it a geometric series?

  5. anonymous
    • one year ago
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    correct.

  6. anonymous
    • one year ago
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    So, would I be correct?

  7. anonymous
    • one year ago
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    hold on.

  8. anonymous
    • one year ago
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    600{(1/2)^5-1}/(1/2-1)

  9. anonymous
    • one year ago
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    @phi

  10. anonymous
    • one year ago
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    116.5 Am I right?

  11. zepdrix
    • one year ago
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    You're adding up 5 numbers. The first of which is 600. How did they then add up to 116.5? :o That's even smaller than the first number that you're adding... You silly billy -_-

  12. anonymous
    • one year ago
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    :D! Hahaha whoops! So what should I do?

  13. zepdrix
    • one year ago
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    \[\large\rm S_n=a_1\frac{1-r^n}{1-r}\]So you determined that your common ratio, \(\large\rm r\), is 1/2 since you're dividing by 2 each time. So we'll plug in all of the information, \[\large\rm S_5=600\cdot \frac{1-\left(\frac{1}{2}\right)^5}{1-\frac{1}{2}}\]

  14. zepdrix
    • one year ago
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    And then let mr calculator do the rest :O understand how to punch it all in?

  15. anonymous
    • one year ago
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    Not really, but I'll try :)

  16. anonymous
    • one year ago
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    So, for the fraction part I got 1.9375.

  17. zepdrix
    • one year ago
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    If you want to punch it all in at once, I would try something like this,\[\large\rm 600*((1-.5\wedge5)\div(1-.5))\]Otherwise, if you like to do it piece by piece, that's fine also :)

  18. zepdrix
    • one year ago
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    (I replaced 1/2 with .5 in my calculator so it's easier to deal with).

  19. anonymous
    • one year ago
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    Ok:) Then, i got 1162.5 as an answer :)

  20. zepdrix
    • one year ago
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    1.9375? That sounds correct for your fractional part. Then finally 1162.5? Yayyy good job!

  21. anonymous
    • one year ago
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    Yippee!!! If, I post another one will you answer it? And thanks so much btw!!!

  22. zepdrix
    • one year ago
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    I'm hungrehhh, I need to make some foods :P but ya I'll try to come look if I get a chance. You can use the @zepdrix and it'll get my attention better than the message box.

  23. anonymous
    • one year ago
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    Ok, thanks so much:)

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