Online Test — Binomial Theorem

Find the middle term in the expansion of (x/2 − 2/x)⁸.

Find the 5th term in the expansion of (x − 2y)⁷.

What is the formula for the general term (T_r+1) in the expansion of (a + b)ⁿ?

Which of the following represents the sequence of numbers in the 4th row of Pascal's Triangle?

Using binomial approximation, the value of (0.99)⁴ is approximately:

If x is very small compared to 1, the approximation for (1 + x)ⁿ is:

The coefficient of x⁴ in (x − 1)⁶ is:

A population grows by 1% annually. Using approximation, (1.01)¹⁰ is about:

The sum of all binomial coefficients in the expansion of (1 + x)¹⁵ is:

A logistics manager at a Chennai port distributes cargo weights based on the binomial expansion (1+x)⁸. Which container number (from 1 to 9) will be the heaviest?