Question 1. Define a sequence a,,n20, by q=2, 9,=1 , 0,=0,-,+20,-2 for n22. (a) Tabulate (n. a.) for n=0,1,...,10. (b) Guess a closed form formula for a (c) Prove your formula in (b) by mathematical induction on n. (d) Computea, modulo 10 for n=10. (e) Seek trial solutions 0,=r where the constant is to be determined. (1) Letr,