If C r denotes n C r then the value of 2 C 0 − 3 C 1 + 4 C 2 − 5 C 3 + − − − − − ( − 1 ) n n + 2 C n =

Req sum = ∫ 0 1 x ( 1 − x ) n d x = ( n + 1 ) ( n + 2 ) 1

Start Free Mock LoginAlready registered? Login here

Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremProperties of Binomial coefficientsMedium2 minQB

MathematicsMediumsingle choice

If $C_{r}$ denotes $^{n} C_{r}$ then the value of $\frac{C _{0}}{2} - \frac{C _{1}}{3} + \frac{C _{2}}{4} - \frac{C _{3}}{5} + - - - - - (- 1)^{n} \frac{C _{n}}{n + 2} =$

Options:

Answer:

Solution:

Req sum $= \int_{0}^{1} x (1 - x)^{n} d x = \frac{1}{( n + 1 ) ( n + 2 )}$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Properties of Binomial coefficients

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...