Use the following information to answer Question #1. Four sequences, each with five terms are given below. Sequence 1 1,-1,-3,-5,-7 1 1 Sequence 2 1 1 2' 4 8 16 32 Sequence 3 1,1.1,1.2,1.3,1.4 Sequence 4 N 1. Complete the following statements: [2] The geometric sequence with common ratio, r, where r 0, is 2. Given the following sequences, determine the general term, , , and determine the value of the indicated term. [4] a) 6,13, 20,27,... 25 b) 6, -3. 43. An arithmetic sequence has , =11 and 1 =63. Determine the following: [2] a) the common difference b) the value of the first term4. In a geometric sequence, the fourth term is -4 and the eighth term is -324. Determine the first term of the sequence. [3] 5. Determine the sum of the first 39 terms in an arithmetic series where ? =107 and t, =153 . [3]7. In a geometric series, where / = 3 and S, =3465, determine the first term in the sequence. [2] 8. A ball is dropped from a height of 15 metres above ground. After the ball touches the ground it bounces to 60% of its previous height. Determine how far the ball has traveled vertically when it hits the ground for the 4th time. Round your answer to the nearest tenth of a metre. [3] 15 m9. Determine the sum of the infinite geometric series 1 1 1 + + ... . 16 64 [2] 10. Three sums obtained from a particular infinite geometric sequence are S, =10, S, =15, 5, = 35 2 Determine the sum of this entire infinite sequence. [3]