| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Generalised Binomial Theorem |
| Type | Form (1+bx)^n expansion |
| Difficulty | Moderate -0.8 This is a straightforward application of the binomial expansion formula for negative/fractional powers. Students need only substitute n=-5/3 and b=3 into the standard formula and compute four terms. It requires careful arithmetic with fractions but no problem-solving or conceptual insight beyond direct formula application. |
| Spec | 1.04c Extend binomial expansion: rational n, |x|<1 |
1 Expand $( 1 + 3 x ) ^ { - \frac { 5 } { 3 } }$ in ascending powers of $x$, up to and including the term in $x ^ { 3 }$.
\hfill \mbox{\textit{OCR C4 2010 Q1 [5]}}