The coefficient of second, third and fourth terms in the binomial expansion of (1+x)^{n}(‘n’, a + ve integer) are in A.P.., if n is equal to
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The coefficient of x^{17} in the expansion of (x 1) (x 2) …..(x – 18) is
If the coefficients of (r +1)th term and (r + 3)th term in the expansion of (1+x)^{2n} be equal then
The greatest coefficient in the expansion of (1+x)^{12} is
In the expansion of (1+x)^{60}, the sum of coefficients of odd powers of x is
Let n ∈ Q an n ∉ N,n ≠ 0, a > 0, then the expansion of (a+x)^{n} in powers of x is valid if
The coefficient of x^{99} in (x+1)(x+3)(x+5)………..(x+199) is
If the expansion of in powers of x contains the term x^{2r}, then n−2r is
If rth ,(r+1)th and (r+2)th terms in the expansion of (1+x)^{n} are in A.P. then
Coefficient of a^{2}b^{5} in the expansion of (a+b)^{3}(a−2b)^{4} is
In the expansion of(1+x)^{11}, the 5^{th} term is 24 times the 3^{rd} term . The value of x is
The sum of coefficients in the expansion of (x+2y+z)^{n} is (n being a positive integer)
If the rth term in the expansion of contains x^{4} then r is equal to
The 1st three terms in the expansion of (4 + x)^{3/2} are
The coefficients of x^{n} in the expansion of (1+2x + 3x^{2} + ........)^{1/2} is
The index of the power of x that occurs in the 7^{th} term from the end in the expansion of
The index of the power of x that occurs in the 6^{th} term in the expansion of
If in the expansion of(1+x)^{43}, the coefficients of (2r+1)th and (r+2)th terms are equal, then r is equal to
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209 videos443 docs143 tests
