Question 6. Let 1 <c< 3. Define a sequence s̟ recursively by 8₁ = c and Sn+1 = C³n for n 1. (1) Prove that (sn) is an increasing sequence. (2) Prove that (Sn) is bounded above. (3) Prove that (Sn) converges to a number b such that c³ = b. (4) Find the value of