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Recurrence Relations - word problems notes

31/08/2022

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value
term
C
20
20
10
convergent
sequence
$
2 3 4 5
term number
RECURRENCE RELATIONS - WORD
Yes, it converges with limit = 3
PROBLEMS
100% +

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value
term
C
20
20
10
convergent
sequence
$
2 3 4 5
term number
RECURRENCE RELATIONS - WORD
Yes, it converges with limit = 3
PROBLEMS
100% +

Register

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

value term C 20 20 10 convergent sequence $ 2 3 4 5 term number RECURRENCE RELATIONS - WORD Yes, it converges with limit = 3 PROBLEMS 100% +1.5%. = 10151 = 1.015 V 1 Betty takes out a loan of £2000. Interest of 1.5%. is paid back on the 27th of the month on any outstanding balance. She pays back by monthly instalments of £450 on the last day of each month. a) make a recurrence relation for the balance Bn due at the end of each month. Bo= 2000 Bn1.015 B-1 - 450 intrest added pays back o) if she took out the loan on 1st february, in which month will she make her final payment Start: feb = £2000 owed and feb (after payment) = 1.015 ×2000-450 = £ 1580 vitt (after pay end march (a.p.) = 1.013 x 1580 - 4150 = £1153.70 owed (a.p.). ment) end april ( a.p.) = 1.015 x 1153.70-4150 = € 721.005s owed (a.p.), end may (a.p.): 1.015 x 721.0055-450 = £281-82058 25 owed (a.p.). 27th june (before payment) = 1.015 x 281.8205825 = 286.04789. end june = to owed. = 7286.05 3 how much final payment is made in June с how much will she have paid overall? 4 x 450+ 286.05 = £ 2086 05 is lett to pay will be payed For mily safted questions involving exceeding or dropping below jufel effective limits, need to consider before and after' 160%. remains = 0.6 (2) A drug is administered to...

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Alternative transcript:

a patient in a hospital. The initial close of the drug is 120ml. Every hour 50%. Of the drug is metabolised (used up) so doctors administer a 35 ml injection every hour to compensate for add $5 this a) write a recurrence reaction relation of the form: Uni=auntb to describe the volume of drug in the patients dotoodstream just after a top up close Untl = 0.6 un +35 4107. Motubulised injection fotrug level b) write a recurrance relation of forma Unti-avn ph to describe the Volume of The treatment is only effective if the level of drug stays above 58 ml will it stop being effective ? If so, when ? Start: 120ml. before dose 1: 0.6 x 120 = 71 ml after dose (² 72 +32 = 107 ml beture dose : 0.6 x 107 = 64.2ml after dose 2 64.2+35=99.2 ml. before close 3: 0.6 x 99.2 = 59.52 ml after aose 6: 59.52 +35 = 94.52ml before dose 4:0.6 x 94.52 = 56.712 m² MMX #2 U₁ = 120 #3 > close 3 dropped below 58m1 between 3rd and with doser, so stops being effective then.