4MA1/2H Jan 2020, Question 17: Expand and Simplify
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Prove algebraically that subtracting one square number from the next consecutive square always gives an odd result, showing clear working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1(n + 1)² − n²
- 2= n² + 2n + 1 − n²
- 3= 2n + 1
- 42n + 1 is always odd
Answer2n + 1 is always odd
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