anonymous
  • anonymous
What is the coefficient of the fifth term in the expansion of (x+1)^8 ?
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
youd have to expand it out to tell, unless someone knows a shortcut :)
amistre64
  • amistre64
i might know a short cut......
amistre64
  • amistre64
the binomial therum or some such name...... pascals triangle

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amistre64
  • amistre64
1 11 121 1331 14641 1 5 10 10 5 1 that stuff
anonymous
  • anonymous
i don't know pascals triangle
amistre64
  • amistre64
11^8 would work too :)
anonymous
  • anonymous
how did you get the 11?
anonymous
  • anonymous
i'm so confused!
amistre64
  • amistre64
pascals triangle follow a pattern of the powers of 11 11^2 is the quadratic cooeficients 1 2 1 11^3 is the cubics cooefficients..1 3 3 1 and so on 11^8 = 214358881 but I have to pick it out into the right pattern
amistre64
  • amistre64
1 11 121 1331 14641 15101051 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 the 5th cooeficient will be 70
amistre64
  • amistre64
in fact this is all the cooefficients :)
anonymous
  • anonymous
use Pascals Triangle to find out the fifth coeficent
amistre64
  • amistre64
good answer :)

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