| Exam Board | SPS |
|---|
| Module | SPS SM Statistics (SPS SM Statistics) |
|---|
| Year | 2022 |
|---|
| Session | February |
|---|
| Topic | Arithmetic Sequences and Series |
|---|
9.
In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.
The first 3 terms of an arithmetic sequence are
$$\ln 3 \quad \ln \left( 3 ^ { k } - 1 \right) \quad \ln \left( 3 ^ { k } + 5 \right)$$
Find the exact value of the constant \(k\).
[0pt]
[BLANK PAGE]