| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve exponential equations |
| Difficulty | Easy -1.3 This is a straightforward three-part question testing basic index laws and exponential functions. Part (i) is simple arithmetic summation (4+8+16+32=60), part (ii) requires recognizing 64=2^6 so n=-6, and part (iii) is a standard sketch of y=2^x. All parts are routine recall/application with no problem-solving required, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.04g Sigma notation: for sums of series1.06a Exponential function: a^x and e^x graphs and properties |
7 (i) Find $\sum _ { k = 2 } ^ { 5 } 2 ^ { k }$.\\
(ii) Find the value of $n$ for which $2 ^ { n } = \frac { 1 } { 64 }$.\\
(iii) Sketch the curve with equation $y = 2 ^ { x }$.
\hfill \mbox{\textit{OCR MEI C2 2008 Q7 [5]}}