anonymous
  • anonymous
Calculate (1+ x+ x²+x^3+...+ x^9+x^10)²
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
hint: geometric series
anonymous
  • anonymous
another hint: 1+x+x^2 + x^3 .. + x^10 is a geometric series (1=x^0) with 11 terms what is the sum of geometric series ?
anonymous
  • anonymous
Wait, is the formula simply x^(n-1)

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anonymous
  • anonymous
assuming x is not 1. if it is 1 so the answer is simple.
anonymous
  • anonymous
no sum of 1+x+x^2+...+x^10 = (1-x^11) / (1-x)
anonymous
  • anonymous
sorry for that .. it is 11 at the numerator
anonymous
  • anonymous
so case x=1: 11^2 case x is not 1 : [ (1-x^11) / (1-x) ]^2
anonymous
  • anonymous
squaring this is simple

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