Geometric Sequences

# Geometric Sequences - www.mathheﬁonsa Geometric Sequences...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: www.mathheﬁonsa Geometric Sequences The Hardware Store Credit Card Secret: EAlomlhardwarestoregivesyonnneyearmpayyourbill. Attheendofoneyearyoumustpay : your bill orbe charged 28.3% interest onyourdeht. Let‘s assume you do notpayyourbill for 10 years. Studythe table to View this fascinating geometric sequeLce Moe m1 sea: near a me ms Alan-6 Aﬂer? ma liners mm year years years years years years years years years years 51'5"” mas 51559 52131 32752 53545 \$4566 35am \$1514 39755 \$12555 nnnnannnﬁnnnnn Since the \$1000 balancewas notpaid oﬂ’, the year end balance' {5 multiplied by 1. 288 every year. i This pattern will continue indeﬁnitely unﬂ the balance” 15 paid. Understanding geometric : sequences is important for understanding your personal ﬁnances \ﬂﬂbhﬂbﬁhﬂﬁﬂﬂﬂhﬂbﬁhhﬁﬂﬂﬂhﬂ A geometric sequence is a group of numbers that Is created when the previous number Is multiplied by a oonunon ratio. For example 4,8,16,32,64 is a metric sequence with 5 terms. The common ratio for 4,8,16,32,64 is 2 and the common ratio for 100,50,25,... is 0.5. lore 113. Given the geometric sequence, 10. 20. 40.. 1E1.4 Given the geometric sequence, 10, 20, determine megﬁtermbyany method. 5' determinethe 22ml yawn. 3,5: amass: *1 *1 are {Finn- W5 War-q. [0,10 «40 so Ibo 52.0 sea {29%; he: l0 (3 ‘tn-n 3.560 : Bel 115.Create a formula that could be used to ﬁnd any term in any geometric sequence; 3,15,12,24 .... Complete the table below Page ZSEWEW mmimnbmmm. [Mwithpuulsafon Denatuaeaﬁer1m2013 www.mathheﬁonsa The Geometric Sequence Formula t =t rn-l This formula ﬁnds ﬂail of terms a-Fitst term " ‘ theﬂth term This form‘dawﬂlﬁndmewterm. 9 4x1 4x2 _—— 116. Explain what each part :3me geometric sequence fonnula means. _ n—l g_gr 4'?) Detﬂﬁd ether each string afnumbers £5 geometric. If it is slate the general term: 6” = ter) 117.2 .9' 7 E 1135.10.20.40... _ *&.x= Fm K5 __ "'4 '— 115 I E n-«I {Ln- 5(3) Eta: ’WIEY-{gﬁnt ("ll/"1) o :- :3 H D .3 I-l .3 H .9 I“ _- 58:. i J'- F F ,2 121.challenge: Given the geometric sequence, 3,6,12,24,... determine the 101k term. 11 -( =1g=1 tart: rIn we?” 325-31" = 536.: Page ZTIWEW mmtmmwmmmmmmlmzm www.mathheﬁonsa Find the term. 122.01ven: i 123.6iven: 5. 15.45,... i 124.Given: 20400. E 125.Given: 3,-9.27.—81.. 3.6.1224, Entity. ' 10240, 5120,...ﬁnd ﬁnd 1-,, ﬁnd ’10- r15. lhefmmula 1:. = 0‘“ Filontlbmuh in =31239 rm = 1536 no new 9 1536 A credit uni company charges 18% interest per year on all unpaid balances. David has an outstanding balance of \$1000. Determine the amount owing alter each of the following time periods. I": i . l ‘5 126.Without using amicuiator. E 127.1year —-7 aia¥um I 123.2yeau's guesshcwlong 1: willtake 5 E Dawd’s debt to 5 ' double? 5 . 129% green E 130.8 years E 13LApproxunateiy how long does E E it take for David”: debt to E E double? 132.1'he Rule of 72. This Is quick business calculation that determines-bow quickly an monument or debt wili doubles” speciﬁc interest rate Simply divide 72 by the Interest rate. The quotleotis the time period it takes to double. Conﬁrm that. this is true with 18%. 133.8HALLENGE: Find the column moo. 134.. Challenge: How many terms are in the foliowi ce uence: 3,6,12,24...49152. £33.32- “3 " Page HIWEW Cmﬂditmthbmunmlhewﬁhmmmtmeﬁulmzml ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern