anonymous
  • anonymous
check my answer? Find S_11 for 1 + 2 + 4 + 8 + ... I got 2047, is that correct?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
wht is "S"?
anonymous
  • anonymous
I believe that it means the sum of the series
anonymous
  • anonymous
idk the answer to this

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sloppycanada
  • sloppycanada
Write out your equation for me.
anonymous
  • anonymous
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
sloppycanada
  • sloppycanada
There is an equation. First you have to find the t11. T11 = term 11.
anonymous
  • anonymous
The eleventh term is 1024 I believe
anonymous
  • anonymous
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 \[ \frac{ a (1-r ^{n})}{ 1-r }\]
anonymous
  • anonymous
take a as 1, r as 2 and n as 11
anonymous
  • anonymous
(1(1-2^11))/1-2 =1-2048/1-2 =2047
sloppycanada
  • sloppycanada
So yes, your answer is 2047
anonymous
  • anonymous
okay thank you

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