1. Write using summation or product notation. (a) +...+ (b) (1+1/2)(2+1/3)(3+1/4)(4+1/5) 4 9 16 121 6 6 7 2. Prove + k +1 k+1 In problems 3-6, Use Mathematical Induction to construct the required proof. 57+1 3. Prove 50 +5' +52 +...+5" =. for every integer n 2 0. 4 4. Prove 8" -1 is divisible by 7, for every integer n 2 0