
Originally posted by miradu2000
Ok everyone.. I spent like 7 hours doing this yesterday, and I have to show it off (about an hour to dothe math, and 6 hours to learn Tex and type it all up)
http://www.miradu.com/proof.pdf
It's my Math Grad Standerd  It's a bunch of sequences, and than prooving that your formulas for the sums of sequences are right by induction proofs....
If you see any errors you are welcome to tell me  the only person I can't get help from is my teacher. (the best thing! ever! me and my friends so liked being able to work together!)
It's very perty me thinks.... TeX is THE math typesetter.. btw, does anyoen know hwo to make the symbol for therefore in TeX, without using a different font?
Miradu,
You missed the point of part 5. It says to give a direct proof, i.e., a proof without induction. Hint: write out a few terms of the $s_n$'s using the new formula. You'll see what happens. The phenomenon is called a telescoping sum. Your TeX looks pretty good for a first go, except that I don't care for your use of the ampersands, when you mean "for". As for the "therefore" you might have to load in your preamble some fonts (symbol or amssymbol), but I don't have my Tex books here. I'll check tomorrow at work.


