9-11 sequences word problems.notebook, Study notes of Calculus

Download 9-11 sequences word problems.notebook and more Study notes Calculus in PDF only on Docsity! 9­11 sequences word problems.notebook April 25, 2014 p.9 (A) f(x) = 3x (B) f(x) = x + 3 (C) f(x) = 2x + 6 (D) f(x) = 3x + 4 What is the missing term in the  sequence below? ­110, ___ , ­146 (A) ­120 (B) ­130 (C) ­128 (D) ­140 Number of    Bacteria 4 2 8 16 During a science experiment, Kyle  counted the number of bacteria  present in a petri dish after every  minute.  Assuming the pattern  continues, how many bacteria will  there be after 20 minutes? (A) 1048576 (B) 2097152 (C) 320 (D) 380  What is the next number in  this sequence? 2, 16, 128, 1024, ____ Which of the following is  an arithmetic sequence? Sequence R: 1,4,7,10,13 Sequence S: 1,5,25,125,625 (A) R (B) S (C) R and S (D) None of the above What is the next number in  this sequence? 0.03, 0.12, 0.48, 1.92, _____ (A) 1.95 (B) 3.36 (C) 5.08 (D) 7.68 As shown in the table, the monthly  rent of an apartment depends on the  number of bedrooms.  If the pattern is  extended, which of these is the likely  cost of a 4­bedroom apartment? (A) $715 (B) $725 (C) $750 (D) $775 Bedrooms $5501 Rent 2 3 $625 $700 LT: I can write an arithmetic or a geometric sequences given a         word problem. (A) 1,920 (B) 8,192 (C) 11,256 (D) 16,384 Which of these is the equation that generalizes  the pattern of the data in the table? x f(x) ­3 ­1 2 5 ­5 1 10 19 1. 2. 3. 4. 5. 6. 7. 9­11 sequences word problems.notebook April 25, 2014 9. 10. 12. 8. 11. 13. 15. 16. 17. What sequence is generated by the  equation f(x) = 4x + 1 for x = 0,1,2,3.... (A) 5, 6, 7, 8 (B) ­1, 0, 1, 2 (C) 1, 5, 9, 13 (D) 4, 5, 6, 7 14. p.10 9-11 sequences word problems.notebook April 25, 2014 ra oa Geometric Seauen}, 6-8 answers f(x) = a(b)* le ayy 86) 98 | 198, fap= u {ay raft for Sequence (b): {4 7th term: 2D Starting Amount (a): (so X = ff for the 7th term) Equction PE 2T* RON! ee am we 0.25 (2) “gad pa tin Rul ee Sequence (b):_# Ze 7th term 1 Starting Amount (a): £.2-% (so X= de for the 7th term) ai war Rule sped Cb), * + 7th mp Q0U25 Starting Amo (so X= fore gn term) a Equation: a b 4 SSO Fla) = 6 RS Rule for Pe quance (b): ote 7th term: 1/512 or 0.00195 _ Starting Amount (a): (so X = {# for the 7th term) Equation: aol at o> BR) = Fa PES Eie)= 4-(4%x*) iri 4 Rulé for Sequence (b): _* 4x 7th rere ag = = Vp dex Starting Amount (a): (so X = ly for the 7th term) eres Aten =I monn nn nnn nnn nnn nee enn en enn cence naenenteenennenensnnsy f 6) 2, 2,2,2,.. : F(e)= 200) ‘ Flo) = 2 Rule for Sequence {b): | 7th term: 2 Starting Amount (a): 2 (so X = y for the 7th term) Equatio -| 9-11 sequences word problems.notebook April 25, 2014 Geometric Sequences i 2 /@=0y oe mt .4,L... Fal lle for Sequence (b): * Hs Starting Amount (a): EN Equation: 8) 1,2,4,8... Rule for Sequence (b): a Starting Amount (a): | Equation: Ebr alee de for the 7th ee “I 7th ter (so X= Bley = (2) Tth term: ns et (so X= the 7th term) 9) 5, Sx”, Sxt, Sxf... 2 Rule for Sequence (b): +X Starting Amount Equation: RL Sore 10) 7, 35, 175, 875... Rule for Sequence (b): _* 5 Starting Amount (a): Equatia 9 eR aye 11) a?, 2a, 4a*, Ba... Rule for Sequence (b): _* 2. Starting Amount (a): * Equation: 12) 320, 80, 20, 5... Rule for Sequence (b); ao Starting Amount (a): Equation: 7th ter ~ K% (so X= ¥ for the 7th term) ach E(ey= 7(6)" 7th term: 10.9379 F(w)= a 7th term: Ho (ae) <~b.o1e (so X= \y for the 7th term) 9-11 sequences word problems.notebook April 25, 2014 hie. 13. Find the base of the right triangle below, | 14. ‘The base of a ladder is placed | 6 feet from a wall. The top of the ladder rests 8 feet up on the wall, How long is the ladder? 15. Find the point of intersection by 16, What is the slopé between the equation. alg- 4-019 two points (8, 3) and (8, =1)? Sherpa MY; XaVe. are _ oh ga 9-11 sequences word problems.notebook April 25, 2014 LT: | can write an arithmetic or a geometric sequences given a word problem. 1. What is the next number in 15. As shown in the table, the monthly this sequence? rent of an apartment depends on the oto at number of bedrooms. If the pattern is 0.03, 0.12, 0.48, 1.92, extended, which of these is the likely 4ST Si SA cost of a 4-bedroom apartment? (A) 1.95 : (3) 3.36 (A) 8715 Bedrooms] Rent | (C) 5.08 (B) $725 1 $550 > +15 Bre a od ~~ 3 $700 2. Which of the following is 6. During a science experiment, Kyle an arithmetic sequence? counted the number of bacteria 4 present in a petri dish after every Sequence R: 1,4,7,10,13 + minute. Assuming the pattern £6 ' \p* | Sequence S: 1,5,25,125,625 45 continues, how many bacteria will ra. 19 there be after 20 minutes? £(x)=2(2) i ATA GE Number off st £62) = t1BS7e | y Sitosssze % | Bacteria minds | (C) Rand S (B) 2097152 7 ise ' (D) None of the above (C) 320 2 nd \ 4 z2 (D) 380 vad 2 8 3 i ee : Bl is [uth 3, What is the next number in 7. What is the missing term in the this sequence? sequence below? EN 2 1B 8, 1024, “110, , -146 HERE ZY 120 (A) -120 =13 (D) 16,384 : 4. Which of these is the equation that generalizes fi the pattern of the data in the table? x (x) -3 5 (A) f00 = 3x -1 1 Bix =x+3 O Givos D (2 \ fro (ipa 2x+ 6 A=10 4 5 = i = i 19 m a-2 3 9­11 sequences word problems.notebook April 25, 2014 B C D B B B B C C D 9­11 sequences word problems.notebook April 25, 2014 B C D C C D B B B A