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[DOCX File]MA-M1 Modelling financial situations - Y12
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The topic Financial Mathematics involves sequences and series and their application to financial situations. A knowledge of financial mathematics enables analysis and interpretation of different financial situations, the calculation of the best options for the circumstances, and the solving of financial problems.
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[DOC File]Sequences & Series Application Problems
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Geometric Application Problems Name _____ Demographics . The population if Sunville increases by 10% each year. It currently has a population of 20,000. A. Predict its population to the nearest 100 people 5 years from now. B. At this rate in how many years will the population be at least 100,000? ... Sequences & Series Application Problems ...
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Part 2:
Solve application problems related to integration. 2. Solve introductory differential equations and associated initial value problems. 3. Apply appropriate integration techniques including integration by parts, trig substitution and partial fractions to evaluate definite, indefinite, and improper integrals. ... Convergence of geometric series ...
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[DOC File]Department of Physics and Mathematics
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series using standard testing theorems, and find the sum of geometric series. 9. Find intervals and radii of convergence for power series. 10. Find power series representations of new functions based on known power series . representations by use of algebra, differentiation and integration of those known . series.
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[DOC File]Sequences & Series Application Problems
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Sequences & Series Application Problems Name _____ Skydiving Problem During a free fall, a skydiver falls 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second.
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Mathematics Advanced Year 12 Sample Unit Financial …
Unit title. Modelling Financial Situations. Duration. 16–20 hours exposition. Topic. Financial Mathematics. Subtopic. MA-M1 Modelling Financial Situations. Subtopic focus. The principal focus of this subtopic is the meaning and mathematics of annuities, including the introduction of arithmetic and geometric sequences and series with their application to financial situations.
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[DOC File]Fun with Sequences
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6) and the common ratio of this geometric sequence is 6. Write the first 3 terms of the sequence: Write the explicit equation of this sequence: 7) Given the sequence , find . 8) Given the sequence , find the 12th term. 9) If and in an arithmetic sequence, find the 8th term. 10) If and in a geometric …
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[DOC File]Application of First-order Differential Equations to Real ...
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In Section 1.4 we have seen that real world problems can be represented by first-order differential equations. ... th dose is the sum of the first n terms of a geometric series, with first term as yo and the common ratio e-kT. This sum can be written as . As n becomes large, the drug level approaches a steady state value, say ys given by ...
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[DOC File]Finite X/A
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Unit 14: Sequences and Series. Day Lesson Homework if . completed Day 1 Numeric Sequences Worksheet A Day 2 Explicit Formulas Worksheet B Day 3 Arithmetic and Geometric Sequences Worksheet C Day 4 Pascal’s Triangle and Fibonacci Sequence. Quiz Review Worksheet D Day 5 Quiz. Begin Recursion. Worksheet E Day 6 Recursion Worksheet F
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[DOC File]MATHEMATICS
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To find the geometric mean (G.M) and insert n G.Ms between two positive real members and be able to solve problems based on them. To establish the formulas for finding the sum of geometric series upto n terms and to infinity, and be able to apply them in finding the sum of the geometric series and evaluating recurring decimal fractions.
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Geometric series application problems