## Chapter 18 – Binomial Theorem Exercise Ex. 18.1

Show that 2^{4n + 4} – 15n – 16, where n Î N is divisible

by 225.

## Chapter 18 – Binomial Theorem Exercise Ex. 18.2

Find the coefficient of x in the expansion of

(1 – 3x + 7x^{2})

(1 – x)^{16}.

Find

the middle term (s) in expansion of:

Find

the middle term (s) in expansion of:

Find

the middle term (s) in expansion of:

If the seventh term from the beginning and end in the

binomial expansion of are equal,

find n.

## Chapter 18 – Binomial Theorem Exercise Ex. 18VSAQ

Write the number of terms

in the expansion of .

Write the sum of

coefficients in the expansion of (1 – 3x + x^{2})^{111}.

Write the number of terms

in the expansion of

(1 – 3x + 3x^{2} – x^{3})^{8}.

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 coefficient of x^{m} and x^{n} in the expansion of (1 + x)^{m+n} , then write the relation between a and b.

IF a and b are

coefficients of x^{n} in the expansion of

(1 + x)^{2n} and (1 + x)^{2n-1} 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 expansion of (1 – 3x + 10x^{2})^{n}

and (1 + x^{2})^{n} respectively, then write the relation

between a and b.

Write the coefficient of

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