A geometric sequence is defined by the equation a, = (4)3-. What are the first three terms of the sequence and what is the common ratio, r? O 16, 4, 0; r = - O 16, 4, 0; r = 4 O 16, 4, 1; 7 = - 12 O 16, 4, 1; r=1What is the common ratio and the general term eooation, an: of the geometric sequence? Hint: an = a1 tri-l: where at is the rst term and r is the common ratio. t] r = , an = 436)\" t] r = s. an = 1s{o}"'1 C} r = %, on = 13[-%)n_1 t] r = 12.a = ts{12}\"'1 What is the sum of the first six terms of the geometric series 2 - 4 + 8 - . . . ? 41 (1-") 1-r ", " # 1, where a, is the first term and r is the common ratio. O S6 = -130 So = -42 So = -64 O S = 42 On the day their child was born, her parents deposited $15,000 in a savings account that earns 10% interest annually. How much is in the account the day the child tums 16 years old (rounded to the nearest cent)? Hint: an = a (r)" , " # 1, where a is the first term and , is the common ratio. $62,658.72 O $68,924.59 O $264,000.00 O $70,031.50Suppose you drop a ball from a window 30 meters above the ground. The ball bounces to 50% of its previous height with each bounce. What is the total number of meters (rounded to the nearest tenth) the ball travels between the time it is dropped and the ninth bounce? Hint: S. = - 41 (1 - ," ) ", " # 1, where a is the first term and + is the common ratio. 1- p O 89.8 meters O 34.6 meters O 92.4 meters O 58.8 meters Determine the sum of the infinite geometric series: 3 + + + O the sum cannot be determined O O O 34Determine the common ratio for each of the following geometric series and determine which one(s) have an infinite sum. I.4+5+2+... 4 11. -7+2 - -!+... -1+2+ ... IV. 4 - 2+ 16 + Fast... O I, II, IV only O I, III only O Ill only O II, IV only