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1.3 Pattern Problems Sowder MATH 2203

1.3 Pattern Problems Sowder MATH 2203 - For each pattern...

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Unformatted text preview: For each pattern, give the next four entries and any particular entry requested, as suggested by the pattern. Assume that the patterns continue indefinitely. a. ABABAB _ __ _ __ ,the 100th entry is _____. b. ABBAABBA w # A W ; the 63rd entry is %. c. 6.5, 7.3, 8.1, 8.9, _, _, _, _; the 20th entry is _. 6. 100,95, 90, 85, _, _, _, M; the 30th entry is _. e. 2, 6, 1-8, 54, _, _, -, f. 5, 25,125, 0.625, .__, _, ,_ g. fiiéfié, ' ,_, _, _; the 100th entry is _. h. iii? ,___, “W, n; the 100th entry is m. i. 2, 4, 6,8, 2', 4, 6, 8,__, _, _, ; the 30th entry is __'. j. 1, 4, 2, 8,5, 7,1,4, 2, 8, 5, 7, 1, 4, ___, _, _, _; the 40th entry is 4“... k. Which of the sequences in parts (a)—(j) are arithmetic sequences? 1. Are there any geometric sequences in parts (a)~(i)? If so, tell which parts. Find a function rule for each of the following patterns, and justify that your rule will be true in general. a. The number of toothpicks to make Shape n in the pattern: li'llllllllllll Slfpe 1 Rap; Shape 3 Shape 4 llllllllltlllll Dtfie- 3511131:— Dfle- " _ 73-6-1113: — decker 1 decker 2 decker 3 dBCkfir 4 d. The number of toothpicks to make Shape n: lillllllllll __ m—_ u——_—————— Shape 1 Shape 2 Shape 3 - e. The number of toothpicks to make Rowhduse n: [LIA /\/\/\/\/\/\/\ ll'tltl‘lllt! _ Rowhouse 1 Rowhouse 2 Rowhouse 3 3 Find a possible function rule for each table or graph. Then use your rule to find I the numerical value for n, if n is indicated. C. -“ -E- ...
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