If the 5th term in the expansion of (x + 2/x²)ⁿ is independent of x, then the value of n is:
The term free from x in the expansion of (√x − a/x²)¹⁰ is 720. Then the value of a is:
The term involving x³ in the expansion of (2x − 1/2) is:
The fourth term in the expansion of (2p − 3q)³ is:
The pth term in the expansion of (x + y)ᵖ⁻¹ is:
In the expansion of (y + 3x)⁵, the sum of the exponents of the second last term is:
The sum of the coefficients at even places in the binomial expansion is equal to:
For a positive integer n, ⁿC₁ + ⁿC₂ + ⁿC₃ + ⋯ + ⁿCₙ =
The coefficient of the term containing x³ in the expansion of (1 + x)¹⁰ is:
The fifth term in the expansion of (a/2 − 2/a)⁶ is:
The coefficient of the sixth term in the expansion of (2 + x/2)⁹is:
In the expansion of (x + 1/x)¹⁶, if the nth term is independent of x, then n is:
Which term of the expansion of (1/x + x²)⁹ contains no power of x?
The power of x occurring in the 7th term of the expansion of (8x⁹ + 5/x)¹¹ is:
The middle term of the expansion of (a − 1/a)²ⁿ is:
The coefficient of x² in (1 + 2x + 3x² + ⋯)⁻³ᐟ² is:
If n is an odd natural number, then the middle term in the expansion of (a + x)ⁿ⁺¹is:
If the middle term in the expansion of (x/2 + 2)⁸ is 1120, then x = k. Find the value of k.
