Sequences and finance
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Sequence patterns and rules
1Identify the behaviour of a sequenceOpen, set of 8START2Find the rule for a sequence and give the next termOpen, set of 8START3Generate the terms of a sequence from a starting value and a ruleOpen, set of 8START
Terms and recurrence relations
4Generate the terms of a sequence from a starting value and a ruleOpen, set of 8START5Name and number the terms of a sequenceOpen, set of 8START6Write a recurrence relation for a sequenceOpen, set of 8START
Arithmetic sequences
7Find the common difference and the next term of an arithmetic sequenceOpen, set of 8START8Decide whether a sequence is arithmetic, geometric or neitherOpen, set of 8START9Tabulate a sequence and graph its termsOpen, set of 8START
Arithmetic recurrence and terms
10Write a recurrence relation for a sequenceOpen, set of 8START11Find term n of an arithmetic sequence using the ruleOpen, set of 8START12Find when a sequence first reaches or passes a given valueOpen, set of 8START
Linear growth and decay in finance
13Model a simple-interest investment or loan with a recurrence relationOpen, set of 8START14Model flat-rate depreciation with a recurrence relationOpen, set of 8START15Model unit-cost depreciation with a recurrence relationOpen, set of 8START16Use the rule for term n of a linear growth or decay modelOpen, set of 8START17Read the financial parameters out of a linear recurrence relationOpen, set of 8START18Find when a sequence first reaches or passes a given valueOpen, set of 8START19Build and compare linear financial modelsOpen, set of 8START
Geometric sequences
20Find the common ratio and the next term of a geometric sequenceOpen, set of 8START21Tabulate and interpret discrete geometric graphsOpen, set of 8START22Distinguish arithmetic and geometric patternsOpen, set of 8START
Geometric recurrence and terms
23Write and interpret geometric recurrence rulesOpen, set of 8START24Write an explicit geometric sequence ruleOpen, set of 8START25Find term n of a geometric sequence using the ruleOpen, set of 8START26Find the first geometric threshold indexOpen, set of 8START
Compound interest and depreciation
27Find when a sequence first reaches or passes a given valueOpen, set of 8START28Model a compound-interest investment or loan with a recurrence relationOpen, set of 8START29Write a recurrence relation for a loan or investment with a given compounding periodOpen, set of 8START30Construct complete compound-interest recurrence modelsOpen, set of 8START31Find the first financial threshold periodOpen, set of 8START32Construct and use reducing-balance depreciation modelsOpen, set of 8START
Geometric models and finance
33Find when a sequence first reaches or passes a given valueOpen, set of 8START34Use the rule for term n of a compound-interest or reducing-balance modelOpen, set of 8START35Find the interest on a credit-card debt compounding dailyOpen, set of 8START36Compare the total cost of ways of paying, or the return on ways of investingOpen, set of 8START37Find the effect of inflation on a priceOpen, set of 8START38Find the purchasing power of an amount after inflationOpen, set of 8START