1.99
See Answer

(a) A sequence {an} is defined recursively by the equation an = ½ (an-1 + an-2) for n ≥ 3, where a1 and a2 can be any real numbers. Experiment with various values of a1 and a2 and use your calculator to guess the limit of the sequence.

(b) Find lim,-» a, in terms of a¡ and az by expressing an in terms of az - a¡ and summing a series.