Recursive Sequences. In this problem you will determine the value of expressions like 1+ 1 1+ 1 1 1+... To give a meaning to this expression we define a sequence recursively by 1 1+ an a) Calculate the values of a, for n=1, 2, ..., 7. Write the values as rational numbers. a = 1 a =1, a1 == a = a5 = a3 = a6 a = a = b) Assuming the sequence converges, use basic limit laws (show details) to find the limit.