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Unit 1-Sequences and Series - Math Lab 1A Directions: Show your work to receive full marks for each question. Be sure you include formulas

 

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Unit 1-Sequences and Series - Math Lab 1A Directions: Show your work to receive full marks for each question. Be sure you include formulas and diagrams in your work. 1) In a geometric sequence, t = 2 and ts = 162. Find the common ratio, r, and all the terms. (4 marks) 2) Given the following two terms in a geometric sequence, find the general term. (3 marks) t3 = 99 and ts = 11 3) For the following state the values of t and r. Then determine the indicated sum. (3 marks) 24 - 12 +6 - ... (510) 4) What is Sg for the following: (3 marks) t = 1/2, r = 4 5) Determine the number of terms in the following series: (3 marks) 7971615+ 5314410 + 3542940 + ... + 92160 6) The sum of an infinite series is 120 and the common ratio is -2/5. State ti and the first three terms of the series. (3 marks) 7) Is the following a convergent series? How can you tell? If so please determine the sum (4 marks) 64 +16+4+1...

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