nmb33 nmb33
  • 15-05-2017
  • Mathematics
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Evaluate the series 1+2+4+8+...+a10

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apologiabiology
apologiabiology apologiabiology
  • 15-05-2017
seems to be geometric
times 2 each time
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which one

a1=1
r=2

so

sum where
a1=first term
r=common ratio
n=which one
[tex]S_n= \frac{a_1(1-r^n)}{1-r} [/tex]
to n=10
[tex]S_{10}= \frac{1(1-2^10)}{1-2} [/tex]
[tex]S_{10}= \frac{1(-1024)}{-1} [/tex]
1024 is thesum
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2loga(3)+loga(5)=loga(x)