ss x ZIPEX Minex x MTCSS3 X TCSS3 X TCSS3 X My Dix courses/1441453/files/preview=71805424 New Tab G Google M Gmail YouTube Maps News Translate Download A Alternative Page of 3 QUESTIONS 1. 2 points) Prove the theorem below. Use a direct proof to find constants that satisfy the definition of Big Theta or else use the limit test. Make sure your proof is complete, concise, clear and precise Theorem I. 7764-9478-831? - 120 (n) 2. (2 points) Prove Gauss's sum using induction on n. Make sure to include a base case for = 1 and an inductive hypothesis and an inductive step for n> 1. Theorem 2. n+1) 2 3. 3 points) Prove the following extension to Gauss's sum using induction on n. Make sure to include a base case for n = 1 and an inductive hypothesis and an inductive step for 1>1. Theorem 3. inn + 1(2 +2.1 - 1) 3 1 mit Dave the folloin the watchedatinition London o