Binomial Theore...

If 2nd, 3rd and 4th terms in the expansion of (x+a)n are 240, 720 and 1080 respectively, then the value of n is

The number of dissimilar terms in the expansion of (a+b+c)12 is

 =

If the rth term in the expansion of  contains x²⁰, then r =

If x = , then is equal to

The two consecutive terms in the expansion of (3+2x)74, which have equal coefficients, are

The coefficient of the middle term in the expansion of (1 + x)²ⁿ is

The sum of ¹²C₁. + ¹²C₂ + ¹²C₃ + ................ upto 12 terms is

If coefficients of three successive terms in the expansion of (x+1)n are in the ratio 1 : 3 : 5, then n is equal to

The value of x, for which the 6^th term in the expansion of is 84, is equal to

If n is a rational number, which is not a whole number, then the number of terms in the expansion of (1+x)n,|x|<1, is

Sum of coefficients in the expansion of (1 + 2x - 4x²)¹⁹⁹⁴ is

If (1 + x)ⁿ = C₀ + C₁x + C₁x + C₂x² +…+ C_nxⁿ, then C₀C₂ + C₁C₃ + C₂C₄ +……..+ C_{n - 2} C_n is equal to

The constant term in the expansion of  is

The sum of coefficients in the expansion (x + 2y + 3z)¹⁰ is

If a_n =  equals

If 1 + x² = , then is equal to

The term containing x³ in the expansion of (x−2y)⁷ is

If coefficients of three successive terms in the expansion of (x+1)n are in the ratio 1 : 3 : 5, then n is equal to

If A be the sum of the odd terms and B the sum of even terms in the expansion of (x + a)ⁿ, then the value of A² - B² is

The two consecutive terms in the expansion of (3+2x)74, which have equal coefficients, are

If a_n = having n radical signs, then by the method of mathematical induction which of the following is true?

If the number of terms in the expansion of (x - 2y + 3z)ⁿ is 45, then what is the value of n?

If C₀, C₁, C₂ …C_n denote the binomial coefficients in the expansion of (1 + x)ⁿ, then the value of . C_r is

The number of dissimilar terms in the expansion of (a+b+c)¹² is