Exam-style question
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D2: A student gives an answer to a sequences and series problem without explaining the method. Describe what working should be shown for sequences including those given by a formula for the nth term… and explain one common error to avoid.
Model answer
What a good answer should say
- The working should make the mathematical structure visible before any final answer is stated.
- For sequences including those given by a formula for the nth term…, the student should write the chosen rule or definition, apply it step by step, and explain why each transformation is valid.
- A common error is that a term rule and a sum formula answer different questions.
- The final line should connect the result back to the original problem, including any exact form, interval, units, modelling assumption or restriction required by the objective.
This answer is tied to the objective: D2 Work with sequences including those given by a formula for the nth term and those generated by a simple relation of the form x_(n+1) = f(x_n); work with increasing, decreasing and periodic sequences..
Explanation
Why this works
Use the explanation to connect the worked answer back to D2 Work with sequences including those given by a formula for the nth term and those generated by a simple relation of the form x_(n+1) = f(x_n); work with increasing, decreasing and periodic sequences..
This question is anchored to D2 because it tests method selection and reasoning for sequences including those given by a formula for the nth term…, not a disconnected routine skill. It rewards precise notation, visible working and a final conclusion that follows from the stated pure mathematics method.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.