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Write the number of terms in the expansion of .

Write the sum of the coefficients in the expansion.

Write the middle term in the expansion of .

Which term is independent of x, in the expansion of ?

If a and b denote respectively the coefficients of and in the expansion of , then write the relation between a and b.

If a and b are coefficients of in the expansion of and respectively, then write the relation between a and b.

If a and b denote the sum of the coefficients in the expansions of and respectively, then write the relation between a and b.

Write the coefficient of the middle term in the expansion of (1 + x)^{2n}

Write the number of terms in the expansion of {(2x + y^{3})^{4}}^{7}

Find the sum of coefficients of two middle terms in the binomial expansion of (1 + x)^{2n-1}

Find the ratio of the coefficients of and in the expansion of .

Write last two digits of the number 3^{400}.

Find the number of terms in the expansion of (a + b + c)^{n}.

If a and b are the coefficients of in the expansions and respectively, find .

Write the total number of terms in the expansion of .

If (1 – x + x^{2})^{n} = a_{0} + a_{1}x + a_{2}x^{2} + … + a_{2n}x^{2n}, find the value of a_{0} + a_{2} + a_{4} + … + a_{2n}.

Mark the correct alternative in the following :

If in the expansion of , the coefficient of rth and (r +4) th terms are equal, then r is equal to

The term without x in the expansion of is

If rth term in the expansion of is without x, then r is equal to.

If in the expansion of and , the ratio of the coefficients of second and third terms, and third and fourth terms respectively are equal, then n is

If A and B are the sums of odd and even terms respectively in the expansion of , then is equal to

The number of irrational terms in the expansion of is

The coefficient of x^{-17} in the expansion of is

In the expansion of , the term without x is equal to

If in the expansion of , the coefficients of and terms are equal, then the value of r is

The middle term in the expansion of is

If in the expansion of occurs in r^{th} term, then

In the expansion of , the term independent of x is

If in the expansion of (1 + y)^{n}, the coefficients of 5^{th}, 6^{th} and 7^{th} terms are in A.P., then n is equal to

If the sum of odd numbered terms and the sum of even numbered terms in the expansion of are A and B respectively, then the value of is.

If the coefficient of x in is 270, then =

The coefficient of in is.

The total number of terms in the expansion of after simplification is

If in the expansion of and in the expansion of are equal, then n =

The coefficient of in the expansion of is.

If the sum of the binomial coefficients of the expansion is equal to 256, then the term independent of x is

If the fifth term of the expansion does not contain ‘a’. Then n is equal to

The coefficient of in the expansion of is

The coefficient of the term independent of x in the expansion of is

The coefficient of in the expansion is.

If the coefficients of the term and the term in the expansion of are equal, then the value of n is

If the coefficients of 2^{nd}, 3^{rd} and 4^{th} terms in the expansion of are in A.P., then n =

The middle term in the expansion of is.

If r^{th} term is the middle term in the expansion of , then term is

The number of terms with integral coefficients in the expansion of is

Constant term in the expansion of is

If the coefficients of x^{2} and x^{3} in the expansion of are the same, then the value of a is.