Binomial Theorem – Applications & Middle Term

Grade 11 Maths — Binomial Theorem – Applications & Middle Term: 25 practice questions with instant scoring and explanations.

1. The middle term(s) of (a + b)^5 is/are:
2. The middle term of (x + y)^6 is the ____ term:
3. For (a + b)^n with even n, the number of middle terms is:
4. For (a + b)^n with odd n, the number of middle terms is:
5. The coefficient of the middle term in (1 + x)^8 is:
6. The coefficient of the middle term(s) in (x + y)^7 is:
7. Using binomial theorem, (1.01)^4 approximately equals:
8. The approximation of (1 + x)^n ≈ 1 + nx for small x is based on:
9. Using binomial theorem, √(1.04) is approximately:
10. To find (1.02)^3 using binomial theorem, write it as:
11. The middle term of (2x + 1)^4 is:
12. The term independent of x in (x + 1/x)^4 is:
13. The term independent of x in (x^2 + 1/x)^6 is:
14. The term containing x^2 in (x + 2)^4 has coefficient:
15. In the expansion of (1 + x)^n, if the coefficient of x^2 is 10, then n equals:
16. The sum (1 + 1)^n = 2^n, which equals the sum of:
17. To find constant term in (x + 1/x^2)^9, we use r such that:
18. (0.99)^3 using binomial approximation equals:
19. The greatest coefficient in (1 + x)^5 is:
20. The sum of odd-positioned coefficients in (1 + x)^n equals:
21. The term independent of x in (2x + 3/x)^4 is:
22. If the middle term of (x + a)^4 is 6x^2, then a equals:
23. The coefficient of x^3 in (1 + x + x^2)^3 is:
24. (1.001)^10 using binomial approximation ≈:
25. For the expansion (a + b)^n, the term with largest coefficient is: