| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2010 |
| Session | January |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Generalised Binomial Theorem and Partial Fractions |
| Type | Direct binomial expansion of quotient |
| Difficulty | Moderate -0.3 This is a straightforward application of the binomial theorem requiring students to rewrite the expression as (1+2x)(1-2x)^{-2}, expand each part to sufficient terms, multiply, and collect like terms. While it involves multiple steps and stating the validity condition, it's a standard C4 technique with no novel insight required—slightly easier than average due to being a routine textbook-style question. |
| Spec | 1.04c Extend binomial expansion: rational n, |x|<11.04d Binomial expansion validity: convergence conditions |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| 15 | B1 |
### Question 1:
| Answer | Marks | Guidance |
|--------|-------|----------|
| 15 | B1 | |1 Find the first three terms in the binomial expansion of $\frac { 1 + 2 x } { ( 1 - 2 x ) ^ { 2 } }$ in ascending powers of $x$. State the set of values of $x$ for which the expansion is valid.
\hfill \mbox{\textit{OCR MEI C4 2010 Q1 [1]}}