The value of (1.002)¹² upto fourth place of decimal is

is equal to.

The number of terms in the expansion of (3 + 2√5)¹⁸ - (3 - 2√5)¹⁸ is 

The sum of the coefficient in the expansion of (1+x - 3 x²)²¹⁶³ will be

Tenth term of the expansion (2 x - y)⁷¹ is

For all n ∈ N, n² + n is a/an

If the coefficient of 7^th and 13^th term in the expansion of (1 + x ) ⁿ are equal , then n is equal to.

If in the expansion of (1 + x )ⁿ , the coefficient of r^th and (r + 2)^th term be equal , then r is equal to

If the ratio of the coefficient of third and fourth term in the expansion of (x - 1/2 x )ⁿ is 1 : 2 , then the value of n will be

The number of terms in the expansion (a + b + c)ⁿ will be