If the 4th term in the expansion of  is independent of x , 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 coefficient of 7^th and 13^th term in the expansion of (1 + x ) ⁿ are equal , then n is equal to.

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

10ⁿ + 3.4^{n + 2} + 5 is divisible by

For all n ∈ N, n² + n is a

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

The value of the expression x⁵ + 10 x⁴a + 40 x³ a² + 80 x²a³ + 80 x a⁴ + 32 a⁵ is

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

Cube root of 217 is