Please answer in detail:

2. The sequence ag, a,, as, ...is defined by putting ag = 1, and for integers n > 0, a,, = a[%'J + alg_;J + n. (a) Find a1, a2, as, a4, as, ag, a7 and as. (b) Use part (a) to find the least integer a so that a, > 4n for all integers n > a. () Prove by strong induction that a,, > 4n for all integers n > a where a is the integer you choose in part (b). (d) Use part (a) to find the least integer a so that a,, > 5n for all integers n > b. (e) Prove by strong induction that a,, > 5n for all integers n > b where b is the integer you choose in part (b)