A geometric sequence is defined by the equation a = (4)". What are the first three terms of the sequence and what is the common ratio, r? 16, 4, 0; 7 = 4 16, 4, 1; 7 = O 16, 4, 0; 1= - 1 16, 4, 1; 7 = - 12What is the common ratio and the general term equation, an, of the geometric sequence? Hint: an =a (r)"-1, where a is the first term and r is the common ratio. . (3, -4) -5 an " (2, -8) -10 -15 * (1, -16) OF =2, On = -16(2)"-1 Or= - On = -16(-;)-1 OF= -2, an = -16(-2)"-1 Or= on = -16(;)"-1What is the sum of the first five terms of the geometric series 3 - 6 + 12 - . . . ? Sn. = 21 (1 -,") 1 - r 1, where a is the first term and r is the common ratio. O S = 12 56 = -33 5% = 33 55 = -136 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 turns 16 years old (rounded to the nearest cent)? Hint: 4 = a (r)"-1, r # 1, where a, is the first term and , is the common ratio. O $70,031.50 O $264,000.00 O $62,658.72 $68,924.59Suppose you drop a ball from a window 15 meters above the ground. The ball bounces to 70% 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 eighth bounce? Hint: S, = 21(1 -y") I - r 1, where a) is the first term and , is the common ratio. O 76.4 meters 32.1 meters O 79.2 meters O 64.2 meters Determine the sum of the infinite geometric series: 3 + + # + ... O O the sum cannot be determined ODetermine which of the following infinite geometric series have a finite sum. 1. 4+5+7 B +... Ill. 1 - 1+2+ ... IV. 4+ +25 1+... O Ill only O I, II, IV only O II, IV only O I, III only