<p> Math 111B – Sequence Worksheet 1. Identify the type of sequence as arithmetic, quadratic, cubic or neither. If the sequence is arithmetic or quadratic also find the general term sequence (function). a) -2, -5, -8, -11, -14… b) -3, -10, -21, -36, -55, -78, -105…</p><p>1 2 20 35 77 c) -1, -14, -51, -124, -245, -426, -679 … d) 3 , 3 , 3, 3 , 3 , 18, 3 . . .</p><p>1 2 4 7 11 16 e) 11, 101, 1001, 10001, 100001 …. e) 5 , 5 , 5 , 5 , 5 , 5 … f) 4, 10, 16, 22, 28 . . .</p><p>2. Find the first four terms for each of the sequence and show that either a=D1, 2a=D2 or 6a = D3. 2 3 a) tn = -2n-5 b) tn = -n -5n+3 c) tn = 2n +6</p><p>5 4 3. What is D1 for the sequence tn = 7 n + 5 ?</p><p>4. </p><p>1 2 3 4 5 6 a) Create a sequence representing the areas of the above figures. b) What kind of sequence do the areas form? Use a rule to describe the relationship between the number of tiles along the bottom edge and the area. c) Create a sequence representing the perimeter of the above figures. d) What kind of sequence do the perimeters form? Use a rule to describe the relationship between the number of tiles along the bottom edge and the perimeter. e) What would be the area and perimeter of a similar figure with 25 tiles along the bottom edge?</p><p>5. Dan had 80 m of fencing to enclose a rectangular yard on three sides. He used his house as a fourth side. By experimenting with different widths as shown in the table, Dan found he could enclose different areas. What type of function could he use to model this data? Find the equation of the function.</p><p>Width (m) 1 2 3 4 5 6 7 8 Area (m2) 78 152 222 288 350 408 462 512</p>