JEOPARDY! JEOPARDY! Click Once to Begin Template by Bill Arcuri, WCSD Arithmetic Sequences Arithmetic Series Geometric Sequences Geometric Series Infinite Geometric Series Surprise! 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 Template by Bill Arcuri, WCSD Daily Double!!! Daily Double Graphic and Sound Effect! • DO NOT DELETE THIS SLIDE! Deleting it may cause the game links to work improperly. This slide is hidden during the game, and WILL not appear. • In slide view mode, copy the above (red) graphic (click once to select; right click the border and choose “copy”). • Locate the answer slide which you want to be the daily double • Right-click and choose “paste”. If necessary, reposition the graphic so that it does not cover the answer text. Template by Bill Arcuri, WCSD Write a rule for the nth term of the arithmetic sequence. 3.5, 3, 2.5, 2, 1.5, … Template by Bill Arcuri, WCSD Write a rule for the nth term of the arithmetic sequence. 1, 7, 13, 19, 25, … Template by Bill Arcuri, WCSD Write a rule for the nth term of the arithmetic sequence, then find a8. d = 5, a1 = 3 Template by Bill Arcuri, WCSD 1 Write a rule for the nth term of the arithmetic sequence, then find a25. d = -2, a9 = 3 Write a rule for the nth term of the arithmetic sequence. a1 = 4, a4 = 13 Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD Find the sum of the first 20 terms of the arithmetic series. (-6) + (-2) + 2 + 6 + … Find the sum of the first 14 terms of the arithmetic series. 8 + 20 + 32 + 44 + … Template by Bill Arcuri, WCSD Find the sum of the first 40 terms of the arithmetic series. 0.5 + 0.9 + 1.3 + 1.7 + … Template by Bill Arcuri, WCSD Find the sum: 7 ∑ − 8 + 5(n − 1) n =1 Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD 2 Write a rule for the nth term of the geometric sequence, then find a8. Find the sum: 9 ∑ − 3n + 11 6, 12, 24, 48, … n=4 Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD Write a rule for the nth term of the geometric sequence, then find a8. r = 6, a3 = 72 Write a rule for the nth term of the geometric sequence, then find a8. 64, 32, 16, 8, 4, … Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD Write a rule for the nth term of the geometric sequence a2 = 50, a6 = 0.005 (Find r and a1 first) Write a rule for the nth term of the geometric sequence. a2 = 6, a4 = 54 (Find r and a1 first!!) Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD 3 Find the sum of the first 10 terms of the geometric series: Find the sum of the first 8 terms of the geometric series: 4 + 8 + 16 + 32 + … 10 + 5 + 2.5 + 1.25 + … Template by Bill Arcuri, WCSD Find the sum : 6 ∑ 20(0.2) Template by Bill Arcuri, WCSD Find the sum : 8 ∑11(−3) i −1 n =1 i −1 n =1 Template by Bill Arcuri, WCSD Find the sum : Find the sum : 5 1 ∑ − 8(− 4 ) Template by Bill Arcuri, WCSD ∞ 2 15 ∑ 9 n =1 i −1 n =1 Template by Bill Arcuri, WCSD n −1 Template by Bill Arcuri, WCSD 4 Find the sum : ∞ Find the sum : ∞ ∑ 4(− 0.2) ∑ 5(0.8) n −1 n =1 n −1 n =1 Template by Bill Arcuri, WCSD Find the sum of this sequence: 1,2,4,8,…. Template by Bill Arcuri, WCSD Find the sum of this sequence: 90,30,10,…. Template by Bill Arcuri, WCSD Tell whether the sequence is arithmetic, geometric, or neither. If arithmetic, find d; if geometric, find r. -5, -3, -1, 1, … Template by Bill Arcuri, WCSD Tell whether the sequence is arithmetic, geometric, or neither. If arithmetic, find d; if geometric, find r. 12, 6, 3, 3/2, … Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD 5 Write the first six terms of the sequence. Find the first 4 terms of the recursive function: a1 = −5 an = n 2 + 1 an = (an−1 ) 2 + 3 Template by Bill Arcuri, WCSD Template by Bill Arcuri, WCSD Tell whether the sequence is arithmetic, geometric, or neither. If arithmetic, find d; if geometric, find r. If neither, write a rule for the sequence. 1, 4, 9, 16, 25, …. Template by Bill Arcuri, WCSD 6