| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Find n and constants from given terms |
| Difficulty | Standard +0.8 This question requires students to apply binomial expansion coefficients, set up simultaneous equations from the given terms, and solve for two unknowns with the constraint that n is a positive integer. It goes beyond routine binomial expansion by requiring algebraic manipulation and systematic problem-solving, making it moderately challenging for C2 level. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
The first three terms in the expansion, in ascending powers of x, of (1 + px)ⁿ, are 1 - 18x + 36p²x². Given that n is a positive integer, find the value of n and the value of p.
[7]
\hfill \mbox{\textit{Edexcel C2 Q4 [7]}}