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This appeared on a nature of proof topic test btw :skip:. I don't have access to the solution. Edit: I ended up proving it using induction and manipulation of the bounds

I'm in year 11 right now, starting year 12 next term. I'm really stuck on whether or not I should do extension 2 maths, and the application deadline is next Friday. So far in extension 1, I've done well, ranking 2/43 with the help of an external tutoring firm. However, because of financial...