Practice variation 1 of 3
Mathematical induction — Related base
Your question
Prove is divisible by 7 for by induction (or note , ).
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.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?