Standard +0.3 This is a standard proof by induction with a straightforward algebraic manipulation. The partial fractions decomposition of 1/(r(r+1)) = 1/r - 1/(r+1) makes the telescoping sum obvious, and the inductive step requires only routine algebra. While it's a Further Maths topic, it's a textbook example that's easier than average A-level questions overall.
Specific statement of induction conclusion, provided 1st 4 marks earned
## Question 2:
| Answer | Marks | Guidance |
|--------|-------|----------|
| | B1 | Establish result true for $n=1$ or $2$ |
| | M1* | Add next term to given sum formula |
| | DM1 | Combine with correct denominator |
| | A1 | Obtain correct expression convincingly |
| | A1 **[5]** | Specific statement of induction conclusion, provided 1st 4 marks earned |
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