Mathematical Induction

[junior ocean]

Is there a simpler way to solve this? I don’t even remember how to simplify (a-b)ˆ3 but I think it’s just going to make the problem harder to,solve .

[hollow meteor]

1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
2. Wait patiently for a helper to come along.
3. Once someone helps you, say thank you and close the thread with:

   +close
   

4. Feel free to nominate the person for helper of the week in #helper-nominations
5. Do not ping the mods, unless someone is breaking the rules. If there is a conflict amongst multiple helpers feel free to ping “Helper Mod”
6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[lavish bobcat]

@junior ocean

[junior ocean]

I'm not seeing how tcan I prove that this is bigger than 1 for every n

@lavish bobcat

[lavish bobcat]

I didn't either, but I tried some things and it worked out

just try manipulating the expression or find lower bounds

the biggest hint is this

n^2 at the top

[junior ocean]

Ok, I'll try that

[lavish bobcat]

for large n it's definitely true

but now think what happens for small n

[junior ocean]

yes I saw that for large n it would work I'll try to figure out what happens for small n

thanks

[lavish bobcat]

you don't really have to look too far

[graceful bolt]

@junior ocean

<:HelpIcon:1304095958283321385>| Help Reminder

Hello 1984.dystopia, this is a friendly reminder that your thread has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command.

[glad turret]

+close