(6) Given is a sequence bn dened in recursive form 1 A bn (bnl 'l bnl) for a given A > 0. You can assume that all values of (9,, are nonzero. (a) For A = 2 use your calculator (or MATLAB) to calculate the rst four values of the sequence bn starting from [)1 = A (this is for n = 1, 2, 3, 4). Inspecting these values: do you expect the sequence to be convergent or to be divergent? (1 mark) (b) Assume you know the sequence bn is converging, what would be its limit (or its limits)? Justify your answer. Is it consistent with your result of part (a)