What is the coefficient of the fifth term in the expansion of (x+1)^8 ?

Question

amistre64 · Answer

youd have to expand it out to tell, unless someone knows a shortcut :)

amistre64 · Answer

i might know a short cut......

amistre64 · Answer

the binomial therum or some such name...... pascals triangle

amistre64 · Answer

1
11
121
1331
14641
1 5 10 10 5 1  that stuff

anonymous · Answer

i don't know pascals triangle

amistre64 · Answer

11^8 would work too :)

anonymous · Answer

how did you get the 11?

anonymous · Answer

i'm so confused!

amistre64 · Answer

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 · Answer

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 · Answer

in fact this is all the cooefficients :)

anonymous · Answer

use Pascals Triangle to find out the fifth coeficent

amistre64 · Answer

good answer :)