If \( \left(1+x-2 x^{2}\right)^{20}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{40} x^{40} \) then the v....

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=d1ooFKYFyL0


Duration: 2:44
0 views
0

If \( \left(1+x-2 x^{2}\right)^{20}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{40} x^{40} \) then
P
the value of \( a_{1}+a_{3}+a_{5}+\ldots+a_{39} \) is
W
(1) \( 2^{18} \)
(2) \( -2^{18} \)
(3) \( 2^{19} \)
(4) \( -2^{19} \)


šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22The equations of \( L_{1} \) and \( L_{2} \) are \( y=m x \) and \( y=n x \), respectively. Supp....
2024-01-22If \( \mathrm{L} \) is the line whose equation is \( a x+b y=c \). Let \( M \) be the reflection....
2024-01-22If \( P=(10+3 \sqrt{11})^{n} \) and \( f=p-[p] \) where \( [\cdot] \) denotes the greatest integ....
2024-01-22If the first three terms in the expansion of \( (a+b)^{n} \) are 729,7290 and 30375 then....
2024-01-22Passage Type Question If \( a={ }^{20} C_{0}+{ }^{20} C_{3}+{ }^{20} C_{6}+{ }^{20} C_{9}+\ldots....
2024-01-22Passage Type Question If \( a={ }^{20} C_{0}+{ }^{20} C_{3}+{ }^{20} C_{6}+{ }^{20} C_{9}+\ldots....
2024-01-22The \( 10^{\text {th }} \) term of \( \left(3-\sqrt{\frac{17}{4}+3 \sqrt{2}}\right)^{20} \) is....
2024-01-22The term which is independent of ' \( x \) ' in the expansion of \( \left(1+x+2 x^{3}\right)\lef....
2024-01-22If the sum of coefficients in the expansion of \( (x-2 y+3 z)^{n} \) is 128 , then the greatest ....
2024-01-22The value of the sum \( \sum_{r=1}^{n} \frac{\mathrm{r}^{n} C_{r}}{{ }^{n} C_{r-1}} \) is....
2024-01-22If \( \left(1+x-2 x^{2}\right)^{20}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{40} x^{40} \) then the v....
2024-01-22The value of the sum \( { }^{17} C_{0}+{ }^{17} C_{1}+{ }^{17} C_{2}+\ldots .+{ }^{17} C_{8} \) ....
2024-01-22The coefficient of \( x^{13} \) in the expansion of \( (1-x)^{5} \times\left(1+x+x^{2}+x^{3}\rig....
2024-01-22Find ' \( n \) ' if the ratio of the fifth form from the beginning to the fifth term from the en....
2024-01-22Find the term in \( \left(\sqrt{\frac{a}{\sqrt[3]{b}}}+\sqrt[3]{\frac{b}{\sqrt{a}}}\right)^{21} ....
2024-01-22The number of terms in the expansion of \( (x+y+z)^{10} \) are....
2024-01-22The number of terms in the expansion of \( \left(1+2 x^{2}+x^{4}\right)^{20} \) are....
2024-01-22Find the value of \[ \frac{16^{3}+9^{3}+3 \times 16 \times 9 \times 25}{3^{6}+6 \times 243 \time....
2024-01-22The value of \( n \) if \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \mu....
2024-01-22Find ' \( a \) ' if the \( 17^{\text {th }} \) and \( 18^{\text {th }} \) terms of the expansion....
2024-01-22The greatest number of which \( 6^{n}-5 n-1 \) is always divisible, is (where \( n \in N \) )....