This preview has intentionally blurred sections. Sign up to view the full version.
View Full 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 Alan6 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 Warq.
[0,10 «40 so Ibo 52.0 sea {29%; he: l0 (3
‘tnn 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 rnl This formula ﬁnds ﬂail of terms aFitst 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
Il
.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?” 32531"
= 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 determinesbow 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
 Spring '14
 Lefebvre
 Calculus

Click to edit the document details