Weekly Math Problem #63

Proof by Induction. Proofs! 🙄 Learning them as an undergrad was so annoying! I just had the hardest time wrapping my brain around them, at the time. Proofs were also the reason I gravitated more toward applied problems. My mind had a much easier time understanding them. I knew proofs were important, but I decided other people will prove stuff and I'll be one of the ones to apply what was proven. 👍🏿 

Since I've started the blog posts, I haven't done any proofs. So, I thought this would be a good time to do one. I must admit that I had some recent practice when a student requested tutoring from me for Number Theory, where proof by induction is one of the topics. I met with the student and told the student to bring class notes to the session. I was able to see and understand the process better.

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to do a proof via induction method

     

WMP! #63 wants us to...

Happy solving!

Check back on Saturday, November 13th for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

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Here are the steps I went through to complete the proof... 

Step 1: Define the function stated in the problem.

Step 2: Show that the function works for the first number in the set.

Step 3: Make an important assumption.

Step 4: Prove the function holds for n+1.

Step 5: Conclude the proof.

▪️ How did you feel about proofs??

▪️ Were you able to complete this proof??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!
Up next is WMP! #64 🤓

Cheers!

The Younge Lady