 # Patterns Arithmetic Sequences Arithmetic Series Geometric Sequences 100

• Slides: 56  Patterns Arithmetic Sequences Arithmetic Series Geometric Sequences 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500 Final Jeopardy Geometric Series 100 Category 1 3, 6, 9, ___, ___ Answer Answer 100 Category 1 3, 6, 9, 12, 15, 18 200 Category 1 20, 12, 4 , ___, ___ Answer Answer 200 Category 1 20, 12, 4 , -4, -12, -20 300 Category 1 800, 400, 200, , ___, ___ Answer Answer 300 Category 1 800, 400, 200, 100, 50, 25 400 Category 1 3, 5, 8, 12, ___, ___ Answer Answer 400 Category 1 3, 5, 8, 12, 17, 23, 30 500 Category 1 1, 1, 2, 3, 5, 8 , ___, ___ Answer Answer 500 Category 1 1, 1, 2, 3, 5, 8 , 13, 21, 34 100 Category 2 Write the rule if a 1= 10 d = 3 Answer Answer 100 Category 2 Write the rule if a 1= 10 d = 3 an = 7 + 3 n 200 Category 2 Write the rule if a 3= 15 d = -2 Answer Answer 200 Category 2 Write the rule if a 3= 15 d = -2 an = 21 - 2 n 300 Category 2 Write the first 5 terms for an=6+5 n Answer Answer 300 Category 2 Write the first 5 terms for an=6+5 n 11, 16, 21, 26, 31 400 Category 2 Find a 20 for 10, 6, 2, -2. . . Answer Answer 400 Category 2 Find a 20 for 10, 6, 2, -2… an =14 - 4 n so a 20 = 14 - 4(20) = -66 500 Category 2 Find the rule if a 3 = 5 and a 7 = 9 Remember this is an arithmetic category Answer Answer 500 Category 2 Find the rule if a 3 = 5 and a 7 = 9 __, 5, __, __, 9 d = (9 -5)/(7 -3) =1 an = 2 +1 n 100 Category 3 Find the S 3 for 10, 8, 6. . . Answer Answer 100 Category 3 Find the S 3 for 10, 8, 6… 10+8+6 =24 200 Category 3 Find the S 5 for 3, 7, 11, 15. . . Answer Answer 200 Category 3 Find the S 5 for 3, 7, 11, 15… 3+7+11+15+19=55 or 5/2(3+19)=55 300 Category 3 Find the S 7 if an = 2 - 3 n Answer Answer 300 Category 3 Find the S 7 if an = 2 - 3 n -1+ -4+-7+-10+-13+-16+-19= -70 400 Category 3 12 S 10 + 5 i i=1 Answer Answer 400 Category 3 12 S 10 + 5 i i=1 15+20+25+30+35+40+45+50+55+60 +65+70=510 OR 12/2 (15+70) = 510 500 Category 3 11 S 5 - i=3 Answer 2 i a l u m r o F n S t Hin work! t ’ n o w Answer 500 Category 3 11 S 5 - i=3 2 i -4+-11+-20+-31+-44+-59+-76+-95 +-116 =-456 100 Category 4 Write the rule if r = 6 and a 1 =7 and find a 10 Answer Answer 100 Category 4 Write the rule if r = 6 and a 1 =7 an = n-1 6(5) a 10 = 6(5)10 -1= 11, 718, 750 200 Category 4 Write the rule for 2, 10, 50, 250. . . Answer Answer 200 Category 4 Write the rule for 2, 10, 50, 250… an = n-1 2(5) 300 Category 4 Write the rule for 360, 120, 40. . . Answer Answer 300 Category 4 Write the rule for 360, 120, 40… an n-1 = 360(1/3) 400 Category 4 Write out the first 5 terms if an = Answer n-1 3(2) Answer 400 Category 4 Write out the first 5 terms if an = n-1 3(2) 3, 6, 12, 24, 48 500 Category 4 Find the 2 geometric means between 3 and 648 Answer Answer 500 Category 4 Find the 2 geometric means between 3 and 648 3, , , 648 18, 108 100 Category 5 Find the S 3 for 5, 30, 180 Answer Answer 100 Category 5 Find the S 3 for 5+ 30+ 180=215 200 Category 5 Find the S 5 for 10, -30, 90, -270 Answer Answer 200 Category 5 Find the S 5 for 10+ -30+ 90+ -270+810=610 300 Category 5 Find the S 7 for 200, 100, 50. . . Answer Answer 300 Category 5 Find the S 7 for 200+100+50+25+25/2 +25/4+25/8=396. 875 400 Category 5 3 S i=1 Answer (i 1) 3(2) Answer 400 Category 5 3 S (i 1) 3(2) i=1 3+6+12 = 21 500 Category 5 If you play the stock market and you earn \$1600 the first day, you lose \$800 the next day. On the third day you earn \$400. If this pattern continues what will be your total earned (or lost) after 5 days? Answer Answer 500 Category 5 \$1600+-800+400+-200 +100 = 1100 Double Jeopardy Find the 3 geometric means between 2 and 1250 Answer Double Jeopardy Answer Find the 3 geometric means between 2 and 1250 2, , 1250 10, 50, 250 Final Jeopardy If you play the stock market and you earn \$1600 the first day, you earn \$800 the next day. On the third day you earn \$400. If this pattern continues on what day will you no longer make even a penny? Answer Final Jeopardy 1600, 800, 400, 200, 100, 50, 25/2, 25/4, 25/8, 25/16, …on the 17 th day you make. 02 19 th day. 0061 20 th day. 00305 sn = 1600(1/2)n-1 sn = 1600(1/2)20 -1 =. 00305