Principle of Mathematical Induction sum(1/(i(i + 1)), i = 1,..., n) = n/(n + 1)

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Using the Principle of Mathematical Induction to prove sum(1/(i(i + 1)), i = 1,..., n) = n/(n + 1). I did it for the first time in this video so that maybe it shows you how to figure out problems like this on your own.

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i love how I click on links explaining my late college math and it always links me to the Math Sorc. everytime! you're so helpful. thankyou

michaeltheisen

You have so many videos covering my classes. Ty again as usual. True sorcerer energy.

joshbolton

This video helped me a lot, even in 2020! Thank you so much :)

gracehan

this guy is a legend, still replying to comments

TrymBraathen

That's a great and elegant solution. Thank you, sir!

antoniovianaaa

how did you get k(K+2) +1 on the numerator on the second I.H.?

SnoopyxX

I have a question. If we have n>=0, then will the statement be true. Won't the basis condition change, in that case?

priyanshusharma

What if you start with the top (n) as n+1?

amberanderson

4:25 where do the (k+2) come from? Like how does k become k(k+2)?

flikflak

Thank you so much
Imma subscribe noooow

leilahnabaggala

Can you do one for i x 5^i = 5^n+1 (1/4n - 1/16) + 5/16

dacorgi

gracias loco, abrazote (thanks dude, big hug for u) <3

i'll give u feedback in 12h

jesus_lpz

Great!! Fantastic video! thanks a lot!

gabrielvarela

I want to say! This video helped me 10000% i really didnt know the meaning of "n" but now i do! Im in 7th grade and this helped me!

durondadudley

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