Home
Class 11
MATHS
"If" n in "and if "(1+ 4x +4 x^2)^n=Sigm...

`"If" n in "and if "(1+ 4x +4 x^2)^n=Sigma_(r=0)^(2n) a_rx^r, "where" a_0,a_1,a_2,.....a_(2n) "are real number" ` ,
The value of `a_(2n-1)` is

A

`2^(2n)`

B

`n. 2^(2n)`

C

`(n-1)2^(2n)`

D

`(n+1)2^(2n)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (O-2)|7 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-1)|11 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE-II|11 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If n in N and if (1+4x+4x^(2))^(n)=sum_(r=0)^(2a)a_(r)x^(r) where a_(0),a_(1),a_(2),......,a_(2n) are real numbers. The value of 2sum_(r=0)^(n)a_(2r), is

Consider (1+x+x^(2)) ^(n) = sum _(r=0)^(2n) a_(r) x^(r) , "where " a_(0),a_(1), a_(2),…a_(2n) are real numbers and n is a positive integer. The value of a_(2) is

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is odd , the value of sum_(r-1)^(2) a_(2r -1) is

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is even, the value of sum_(r=0)^(n//2-1) a_(2r) is

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. The value of sum_(r=0)^(n-1) a_(r) is

If (1+x+x^(2))^(n)=sum_(r=0)^(2n)a_(r)x^(r), then a_(1)-2a_(2)+3a_(3)-...-2na_(2n)=

If (1+x+x^(2))^(n)=sum_(r=0)^(2n)a_(r)x^(r), then prove that a_(r)=a_(2n-r)

Let f(x) = a_(0)x^(n) + a_(1)x^(n-1) + a_(2) x^(n-2) + …. + a_(n-1)x + a_(n) , where a_(0), a_(1), a_(2),...., a_(n) are real numbers. If f(x) is divided by (ax - b), then the remainder is