Patterns Arithmetic Series Geometric Sequence s 100 200 300 400 500 100 300 400 500 100 200 300 400...
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Transcript of Patterns Arithmetic Series Geometric Sequence s 100 200 300 400 500 100 300 400 500 100 200 300 400...
Patterns Arithmetic Series
Geometric Sequences10
0200300400
500
100
300400
500
100200300400
500
100200300400
500
100200300400
500
Arithmetic Sequence
s
Geometric Series
200
Final Jeopardy
Answer 100 Category 2Answer 100 Category 2
Write the rule if Write the rule if aa11= 10 d = 3= 10 d = 3aann = 7 + 3n = 7 + 3n
Answer 200 Category 2Answer 200 Category 2
Write the rule ifWrite the rule ifaa33= 15 d = -2= 15 d = -2aann = 21 - 2n = 21 - 2n
300 Category 2300 Category 2
Answer
Write the first 5 Write the first 5 terms for aterms for ann=6+5n=6+5n
Answer 300 Category 2Answer 300 Category 2
Write the first 5 Write the first 5 terms for aterms for ann=6+5n=6+5n11, 16, 21, 26, 3111, 16, 21, 26, 31
Answer 400 Category 2Answer 400 Category 2Find aFind a2020 for for 10, 6, 2, -2… 10, 6, 2, -2…aann =14 - 4n =14 - 4n
so aso a20 = 14 - 4(20) = -6620 = 14 - 4(20) = -66
500 Category 2500 Category 2
Answer
Find the rule if aFind the rule if a33 = = 5 and a5 and a77 = 9 = 9
Remember this is an Remember this is an arithmetic categoryarithmetic category
Answer 500 Category 2Answer 500 Category 2
Find the rule if aFind the rule if a33 = 5 = 5 and aand a77 = 9 = 9
__,__,5,__,__,__,9__,__,5,__,__,__,9d = (9-5)/(7-3) =1d = (9-5)/(7-3) =1
aann = 2 +1n = 2 +1n
Answer 100 Category 3Answer 100 Category 3
Find the SFind the S33 for for 10, 8, 6…10, 8, 6…
10+8+6 =2410+8+6 =24
Answer 200 Category 3Answer 200 Category 3Find the SFind the S55 for for 3,7,11,15…3,7,11,15…
3+7+11+15+19=53+7+11+15+19=555
or 5/2(3+19)=55or 5/2(3+19)=55
Answer 300 Category 3Answer 300 Category 3
Find the SFind the S77 if aif ann = 2 - 3n = 2 - 3n
-1+ -4+-7+-10+--1+ -4+-7+-10+-13+--16+-19= -7013+--16+-19= -70
Answer 400 Category 3Answer 400 Category 3
i = 112
15+20+25+30+35+40+45+50+55+60+65+70=510
OR 12/2 (15+70) = 510
Answer 100 Category 4Answer 100 Category 4
Write the rule if
r = 6 and a1 =7
an = 6(5)n-1
a10 = 6(5)10-1= 11,718,750
Answer 400 Category 4Answer 400 Category 4
Write out the first 5 terms if
an = 3(2)n-1
3, 6, 12, 24, 48
Answer 500 Category 4Answer 500 Category 4
Find the 2 geometric means
between 3 and 648
3, , ,648
18,108
500 Category 5500 Category 5
Answer
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?
Double Jeopardy AnswerDouble Jeopardy Answer
Find the 3 geometric means between 2 and
1250
2, , , ,1250
10,50,250
Final JeopardyFinal 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