Prove that the co-efficient of the middle term in the expansion of ... VIDEO
Prove that the co-efficient of the middle term in the expansion of \( (1+x)^{2 n} \) is equal to the sum of the
\( \mathrm{P} \) co-efficients of middle terms in the expansion of \( (1+x)^{2 n-1} \).
W
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/
Other Videos By PW Solutions 2023-02-25 If \( \mathrm{C}_{0}, \mathrm{C}_{1}, \mathrm{C}_{2}, \ldots \mathr... 2023-02-25 If \( C_{0}, C_{1}, C_{2}, \ldots C_{n} \) are the binomial coeffic... 2023-02-25 Let \( f(x)=\int_{x}^{x+\frac{\pi}{3}}|\sin \theta| d \theta \quad(... 2023-02-25 If \( \mathrm{C}_{0}, C_{1}, C_{2}, \ldots C_{n} \) are the binomia... 2023-02-25 If \( \mathrm{C}_{0}, \mathrm{C}_{1}, \mathrm{C}_{2}, \ldots \mathr... 2023-02-25 If \( C_{0}, C_{1}, C_{2}, \ldots C_{n} \) are the binomial coeffic... 2023-02-25 Find the term in the expansion of \( (2 x-5)^{6} \) which have
\( \... 2023-02-25 Form a differential equation for the family of curves represented b... 2023-02-25 Which is larger : \( \left(99^{50}+100^{50}\right) \) or \( (101)^{... 2023-02-25 Find the term in the expansion of \( (2 x-5)^{6} \) which have
\( \... 2023-02-25 Prove that the co-efficient of the middle term in the expansion of ... 2023-02-25 Find the term in the expansion of \( (2 x-5)^{6} \) which have
\( \... 2023-02-25 Find the last digit, last two digits and last three digits of the n... 2023-02-25 Find the term independent of ' \( x \) ' in the expansion of the ex... 2023-02-25 Using binomial theorem prove that \( 6^{n}-5 n \) always leaves the... 2023-02-25 Find the remainder when \( 7^{98} \) is divided by 5
\( \mathrm{P} \) 2023-02-25 Let \( f_{1}: R \rightarrow R, f_{2}:\left(-\frac{\pi}{2}, \frac{\p... 2023-02-25 For any positive integer \( n \), define \( f_{n}:(0, \infty) \righ... 2023-02-25 Find the middle term(s) in the expansion of
(P)
\[
\left(\frac{x}{y... 2023-02-25 Find the coefficient of \( x^{5} \) in \( (1+2 x)^{6}(1-x)^{7} \)
WW 2023-02-25 Find the coefficient of
P
\[
a^{5} b^{7} \text { in }(a-2 b)^{12}
\]