(x + 2)(- 8x + 1) are your factors.
It follows from the definition of the binomial coefficient:
![\dbinom nr=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5Cdbinom%20nr%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
So we have
![(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}](https://tex.z-dn.net/?f=%28n%2B1%29%5Cdbinom%20nr%3D%28n%2B1%29%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%3D%28r%2B1%29%5Cdfrac%7B%28n%2B1%29%21%7D%7B%28r%2B1%29%21%28n-r%29%21%7D)
That is,
gets absorbed into the numerator's factorial, and we introduct
into the denominator. Now,
, so we get
![(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}](https://tex.z-dn.net/?f=%28n%2B1%29%5Cdbinom%20nr%3D%28r%2B1%29%5Cdfrac%7B%28n%2B1%29%21%7D%7B%28r%2B1%29%21%28%28n%2B1%29-%28r%2B1%29%29%21%7D%3D%28r%2B1%29%5Cdbinom%7Bn%2B1%7D%7Br%2B1%7D)
as required.
Answer:
Σxi =56.61
Σxi²=196.23
Step-by-step explanation:
X be the random variable represents area of scleral lamina (mm2) from human optic nerve heads
Σxi can be obtain by adding all x values
Σxi=2.79+2.53+2.78+3.79+2.33+2.72+3.88+4.15+3.79+4.43+3.47+4.47+2.5+3.61+2.77+3.53+3.07=56.61
Σxi =56.61
Σxi² can be obtained by squaring x values and then adding them.
Σxi²=2.79²+2.53²+2.78²+3.79²+2.33²+2.72²+3.88²+4.15²+3.79²+4.43²+3.47²+4.47²+2.5²+3.61²+2.77²+3.53²+3.07²=196.233
Σxi²=196.23
Answer:
![\frac{-17}{16+3x}](https://tex.z-dn.net/?f=%5Cfrac%7B-17%7D%7B16%2B3x%7D)
Step-by-step explanation:
8-25
4+3x-20
-17
16+3x
Answer:
3, 9, 81, 6561
Step-by-step explanation:
previous term × itself