Binomial TheoremHard
Question
The coefficient of x4 in
, | x | < 1, is
Options
A.4
B.-4
C.10 + 4C2
D.16
Solution
(1 + x)2 (1 - x)-2
= (1 + x2 + 2x) (1 - x)-2
Co-efficient of x4 = 5C4 + 3C2 + 2 4C3 = 16
= (1 + x2 + 2x) (1 - x)-2
Co-efficient of x4 = 5C4 + 3C2 + 2 4C3 = 16
Create a free account to view solution
View Solution FreeMore Binomial Theorem Questions
The sum of 12 terms of the series 12C1.+ 12C2.+ 12C3.+ .... is -...Vegetative propagation through cell or tissue culture is known as...If (1 + x)n = C0 + C1x + C2x2 + .....+ Cnxn, then C0C2 + C1C3 + C2C4 + ......+ Cn-2 Cn is equal to -...The remainder when 22003 is divided by 17 is :...If (1 + x)n = C0 + C1x + C2 x2 + ...+ Cnxn, then the value of 12 C1 + 22 C2 + 32 C3 + ...+ n2 Cn is -...