The set from problem 1 is a_(n+1)-sqrt(3+2*a_n), where a_1=1 For problem 2, it shows that A is not bounded above when a>1, where A= {a^n ne N} = {a, a^2, a^3, ...} 3. Let A be the set of all the real numbers an from problem 1. Prove that sup(A) 3. [Hint: Define an-3- 3-as and use the result from problem 2 to show that for every c>0, there is a positive integer n such that an < c.]