Binomial Theorem – Statement & General Term

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

1. The binomial theorem expansion of (a + b)^n has how many terms?
2. The general term in the expansion of (a + b)^n is:
3. (x + y)^2 expands to:
4. (x + y)^3 expands to:
5. The coefficient of x^2 in (x + 2)^4 is:
6. The coefficient of x^3 in (x + 1)^5 is:
7. In the expansion of (a + b)^n, the (r+1)th term is:
8. The number of terms in the expansion of (x + y)^10 is:
9. The first term in (x + 2)^4 is:
10. The last term in (x + y)^5 is:
11. The expansion of (1 + x)^n has ____ terms:
12. The middle term of (x + y)^6 is the ____th term:
13. In (a + b)^n, the coefficient of the first term is:
14. In (a + b)^n, the coefficient of the last term is:
15. The sum of binomial coefficients in (a + b)^n is:
16. If the 4th term of (x + a)^5 contains x^2, then the power of x in that term is:
17. The coefficient of x^3 in (2x + 1)^5 is:
18. The general term formula uses:
19. In the expansion of (x - y)^4, the signs of terms are:
20. The coefficient of ab in (a + b)^2 is:
21. The 5th term in (x + y)^7 is:
22. (a - b)^3 expands to:
23. The coefficient of x^0 in (x + 1/x)^4 is:
24. If (1 + x)^n = 1 + nx + ... , the second term coefficient is:
25. The power of x in the (r+1)th term of (x^2 + 1/x)^6 is: