Write the sum of the coefficients in the expansion.

Write the number of terms in the expansion of .

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.

Write the middle term in the expansion of .

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 + y³)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 3⁴⁰⁰.

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 + x²)ⁿ = a₀ + a₁x + a₂x² + … + a_2nx²ⁿ, find the value of a₀ + a₂ + a₄ + … + a_2n.

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

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The term without x in the expansion of is

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

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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

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

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The number of irrational terms in the expansion of is

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

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

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

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The middle term in the expansion of is

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

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In the expansion of , the term independent of x is

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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

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In the expansion of , the term independent of x is

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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.

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If the coefficient of x in is 270, then =

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The coefficient of in is.

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

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

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The coefficient of in the expansion of is.

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

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

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The coefficient of in the expansion of is

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

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The coefficient of in the expansion of is.

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The coefficient of in the expansion is.

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

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

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The middle term in the expansion of is.

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

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

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Constant term in the expansion of is

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If the coefficients of x² and x³ in the expansion of are the same, then the value of a is.