C0-C1/2+C2/3-C3/4....+(-1)^nCn/n+1=1/n+1

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Binomial Theorem
  1. CIC Maths
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C0-C1/2+C2/3-C3/4....+(-1)^nCn/n+1=1/n+1 0:09:55

C0-C1/2+C2/3-C3/4....+(-1)^nCn/n+1=1/n+1

Show that C0 0:01:29

Show that C0 + C1 / 2 + C2 / 3 + ... + Cn / (n+1) = { [2 raised to power n+1] - 1 } / (n+1).

`e_0+C/2+(C_2)/3++(C_n)/(n+1)=(2^(n+1)-1)/(n+1)` 0:02:53

`e_0+C/2+(C_2)/3++(C_n)/(n+1)=(2^(n+1)-1)/(n+1)`

11.a) Prove that: 0:07:31

11.a) Prove that: C1–2C2+3C3–...+n(–1)^(n–1).Cn=0 if (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Class 12 Binomial...

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11.e) Prove that: 0:08:29

11.e) Prove that: C1/C0 + 2C2/C1 + 3C3/C2 +...+nCn/Cn-1=n(n+1)/2 If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. NEB...

11.h) Prove that: 0:06:04

11.h) Prove that: C0C1+C1C2+C2C3+...+Cn-1Cn=(2n)!/(n+1)!(n-1)! If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ NEB 12...

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Prove that (.^(n)C_(1))/(2) + (.^(n)C_(3))/(4) + (.^(n)C_(5))/(6) + ….= (2^(n) - 1)/(n+1). | 12 ......

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11.g) Prove that: 0:05:04

11.g) Prove that: C0²+C1²+C2²+C3²+...+Cn²=(2n)!/(n!)² If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ Binomial NEB 12...

11.b) Prove that: 0:06:15

11.b) Prove that: C0+2C1+3C2+...+(n+1)Cn=(n+2).2^(n-1) If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Binomial NEB...

If `n gt= 0:05:55

If `n gt= 2` then `3. C_1-4. C_2+5. C_3-...........+1)^(n-1)(n+2)*C_n=`

Show that C{0}*C{r} 0:05:07

Show that C{0}*C{r} + C{1}*C{r+1} + C{2}C{r+2} + ... + C{n-r}C{n} = (2n)! / [(n-r)! (n+r)!].

11.d) Prove that: 0:05:51

11.d) Prove that: C0+4C1+7C2+10C3+...+(3n+1)Cn=(3n+2)2^(n-1) If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ Binomial...

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