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ZxrnfP - 1
Calculation: ZxrnfP - 1
T
*
(
k
+
1
)
=
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
)
=
a
^
(n-k)
*
b
^
k
*
n
!
/
(
n
-
k
)
!
/
k
!
$$T\cdot (k+1)$$
=
$$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(n-k)!\cdot k!}$$
T
=
a
^
(n-k)
*
b
^
k
*
n
!
/
(
n
-
k
)
!
/
k
!
/
(
k
+
1
)
$$T$$
=
$$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(n-k)!\cdot k!\cdot (k+1)}$$
T
=
a
^
(n-k)
*
b
^
k
*
n
!
/
(
k
+
1
)
/
(
n
-
k
)
!
/
k
!
$$T$$
=
$$\frac{a^{(n-k)}\cdot b^{k}\cdot n!}{(k+1)\cdot (n-k)!\cdot k!}$$