Calculation: BY12fu - 1
T* (k+1) =
C(k;n)* a^(n-k)* b^k
C(k;n)* a^(n-k)* b^k
|
T* (k+1) = C(k;n)* a^(n-k)* b^k$$T\cdot (k+1)$$ = $$C_{n}^{k}\cdot a^{(n-k)}\cdot b^{k}$$
T* (k+1) =
$$T\cdot (k+1)$$ = $$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(n-k)!\cdot k!}$$
| a^(n-k)* b^k* n! |
| / (n-k)!/ k! |
T =
$$T$$ = $$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(n-k)!\cdot k!\cdot (k+1)}$$
| a^(n-k)* b^k* n! |
| / (n-k)!/ k!/ (k+1) |
T =
$$T$$ = $$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(k+1)\cdot (n-k)!\cdot k!}$$
| a^(n-k)* b^k* n! |
| / (k+1)/ (n-k)!/ k! |