Consider the sequence defined by an +1 = 2+an, ao = 2, for n = 0,...

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Consider the sequence defined by an +1 = 2+an, ao = 2, for n = 0, 1, 2, 3, .... Complete parts (a) through (c) below. a.Evaluate the first four terms of the sequence {an). State the exact values first, and then the approximate values. a = 2, a 2+ 2= 2+2+ 2, az = (Type exact answers, using radicals as needed.) Now state the approximate values. = 2+2+2+2 a = 1.41421, a = 1.84776, a = 1.96157, a3 = 1.99037 (Type integers or decimals rounded to five decimal places as needed.) b. Show that the sequence is increasing and bounded. Note that a = 2 <2. Suppose that a < 2 then an + 1 = 2 + an 0. Therefore, the sequence {a} is increasing and also bounded below by n+1 an+ 1 = 2+an, then Consider the sequence defined by an +1 = 2+an, ao = 2, for n = 0, 1, 2, 3, .... Complete parts (a) through (c) below. a.Evaluate the first four terms of the sequence {an). State the exact values first, and then the approximate values. a = 2, a 2+ 2= 2+2+ 2, az = (Type exact answers, using radicals as needed.) Now state the approximate values. = 2+2+2+2 a = 1.41421, a = 1.84776, a = 1.96157, a3 = 1.99037 (Type integers or decimals rounded to five decimal places as needed.) b. Show that the sequence is increasing and bounded. Note that a = 2 <2. Suppose that a < 2 then an + 1 = 2 + an 0. Therefore, the sequence {a} is increasing and also bounded below by n+1 an+ 1 = 2+an, then