Variation 3 · answer guide
Mathematical induction — Base and one step only
Question
Verify and for are divisible by 7.
This practice question was inspired by Question 12(f) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- State the final answer clearly in the form the question requested.; .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Sanity check before the general inductive step.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2022 HSC Extension 1 paper Question 12(f)