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anonymous

  • one year ago

check my answer? Find S_11 for 1 + 2 + 4 + 8 + ... I got 2047, is that correct?

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  1. anonymous
    • one year ago
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    wht is "S"?

  2. anonymous
    • one year ago
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    I believe that it means the sum of the series

  3. anonymous
    • one year ago
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    idk the answer to this

  4. sloppycanada
    • one year ago
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    Write out your equation for me.

  5. anonymous
    • one year ago
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    well I know that r=2 and so I multiplied by 2 for each and got 1,2,4,8,16,32,64,128,256,512,1024 and then I looked it up because I wasn't sure what to do next and they got 2047 and I wanted to know how they got that

  6. sloppycanada
    • one year ago
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    There is an equation. First you have to find the t11. T11 = term 11.

  7. anonymous
    • one year ago
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    The eleventh term is 1024 I believe

  8. anonymous
    • one year ago
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    its geometric progression, a, ar, ar^2, ar^3.... the common ratio here is 2, that is, every next term is "previous term multiplied by 2" sum in a GP is given by the formula \[ \frac{ a (1-r ^{n})}{ 1-r }\]

  9. anonymous
    • one year ago
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    take a as 1, r as 2 and n as 11

  10. anonymous
    • one year ago
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    (1(1-2^11))/1-2 =1-2048/1-2 =2047

  11. sloppycanada
    • one year ago
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    So yes, your answer is 2047

  12. anonymous
    • one year ago
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    okay thank you

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