Pre-Calc Jeopardy Review Get ready to give me the name of your group!! The only things your group may have out are: scratch paper calculators writing apparatus JEOPARDY Sums Formulas Terms Arithmetic Geometric Misc 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 Sums - 100 5 Evaluate 4n n1 Answer Sums - 100 5 4n 4(1) 4(2) 4(3) 4(4) 4(5) 60 n1 Next Question Sums - 200 5 Evaluate 3k 2 k 0 Answer Sums - 200 5 2 2 2 2 2 2 2 3k 3(0) 3(1) 3(2) 3(3) 3(4) 3(5) k 0 165 Next Question Sums - 300 Write the sum using sigma notation 5 5 5 5 ... 11 1 2 1 3 115 Answer Sums - 300 15 5 1 n n1 Next Question Sums - 400 Write the sum using sigma notation 1 1 1 1 1 ... 2 4 8 128 Answer Sums - 400 1 1 2n n 0 7 n Next Question Sums - 500 Evaluate 1 n 2 4 n1 Answer Sums - 500 Since r 4 4 1 there is no sum Next Question Formulas - 100 Write an equation for 2,7,12,17,... Answer Formulas - 100 an 2 5(n 1) 3 5n Next Question Formulas - 200 Write an equation for 27,9,3,1,... Answer Formulas - 200 n1 1 an 27 3 Next Question Formulas - 300 Write an expression for the following sequence: 1 2 4 8 , , , ,... 3 9 27 81 Answer Formulas - 300 2 n1 an n 3 Next Question Formulas - 400 Write an expression for the following terms 1 1 1 1 1, , , , ,... 3 5 7 9 Answer Formulas - 400 1 n an 2n 1 Next Question Formulas - 500 Write a recursive expression for the following sequence; 1,1,2,3,5,8,13,21,.. Answer Formulas - 500 a1 1 a2 1 an an1 an2 Next Question Terms - 100 Write the first 4 terms of 6 an 2 n (assume n starts at 1) Answer Terms - 100 8,5,4,3.5 Next Question Terms - 200 1 n What are the first 4 terms of an 2n 1 (assume n starts at 0) Answer Terms - 200 1 1 1,1, , 3 5 1,1,0.333,.2 Next Question Terms - 300 What are the first 4 terms of the arithmetic sequence where the first term is 3 and the common difference is 4. Answer Terms - 300 3,7,11,15 Next Question Terms - 400 a1 35 What are the first 4 terms of a a 3 k 1 k Answer Terms - 400 35, 32, 29, 26 Next Question Terms - 500 Write the first 4 terms of the sequence where the first term 1 is 4 and the common ratio is 4 Answer Terms - 500 1 1 4,1, , 4 16 Next Question Arithmetic -100 Find the 100th partial sum of the sequence 5,16,27,38,49,... Answer Arithmetic - 100 100 S100 5 1094 54,950 2 Next Question Arithmetic - 200 An auditorium has 20 rows of seats. There are 20 seats in the first row, 21 sets in the second row, 22 seats in the third row and so on. How many sets are there in all 20 rows? Answer Arithmetic - 200 20 S 20 39 590 2 Next Question Arithmetic - 300 A small business sells $10,000 worth of sports memorabilia during its first year. The owner of the business has set a goal of increasing annual sales by $7500 each year for 19 years. Assuming this goal is met, find the total sales during the first 20 years of this business. Answer Arithmetic - 300 20 S20 10,000152,500 1,625,000 2 Next Question Arithmetic - 400 500 Find the partial sum of n 8 n1 Answer Arithmetic - 400 500 S500 9 508 129,250 2 Next Question Arithmetic - 500 Find the sum of 1, 3, 5, 7, 9, … Answer Arithmetic - 500 Can’t find the sum because this sequence is arithmetic which means it will continue to increase without leveling off. Next Question Geometric - 100 Find the sum of 3 + 0.3 + 0.03 + 0.003 + … Answer Geometric - 100 3 S 3.33 1 (0.1) Next Question Geometric - 200 Evaluate 4.6 n1 n1 Next Question Geometric - 200 4 S 10 1 0.6 Answer Geometric - 300 Find the sum of 1, 3, 9, 27, 81, … Answer Geometric - 300 You can’t compute the sum of this sequence because it is a geometric sequence with a common ration greater than 1 Next Question Geometric - 400 Use summation notation to write the sum 7 + 14 + 28 + …+ 896 Answer Geometric - 400 7 72 n1 n1 Next Question Geometric - 500 Write the first 5 terms of the geometric sequence when the first term is 4 and the common ratio is 2 Answer Geometric - 500 4, 8, 16, 32, 64 Next Question Misc - 100 Write the sum using summation notation 21 22 23 ... 29 2 2 2 2 Answer Misc - 100 9 2n 2 n1 Next Question Misc - 200 Use sigma notation to write 1 1 1 the sum 1 ... 3 9 27 Next Question Misc - 200 n1 1 3 n1 Next Question Misc - 300 Find the 100th partial sum of the arithmetic sequence where the first term is 15 and the 100th term is 307 Answer Misc - 300 100 S 15 307 16,100 2 Next Question Misc - 400 When is Miss Miller’s Birthday? Answer Misc - 400 March 26th Next Question Misc - 500 Find the partial sum of 100 7n n 51 Answer Misc - 500 50 S 357 700 26,425 2 Next Question