PS.ED.6

Model and solve real-world problems involving patterns using recursion and iteration, growth and decay, and compound interest.

Example Problems
The value of a stock increases by per year. If the initial value is , what will it be after 6 years?
The height of a young tree increases by every week. If the initial height is , what will it be after 8 weeks?
The value of a stock increases by 12% per year. If the initial value is $50, what will it be after 3 years?
Khan Academy Resources
Intro to arithmetic sequencesIntro to arithmetic sequence formulasArithmetic sequences reviewExplicit formulas for arithmetic sequencesConverting recursive & explicit forms of arithmetic sequencesRecursive formulas for arithmetic sequencesWarmup: exponential vs. linear growthUse arithmetic sequence formulasExtend geometric sequencesUse geometric sequence formulasExtend arithmetic sequencesRecursive formulas for arithmetic sequencesExponential growth vs. decayConverting recursive & explicit forms of arithmetic sequencesGraphing exponential growth & decayRecursive formulas for geometric sequencesEvaluate sequences in recursive formExplicit formulas for geometric sequencesGraphs of exponential growthConverting recursive & explicit forms of geometric sequencesExponential vs. linear modelsSequences word problemsExplicit formulas for arithmetic sequencesExponential vs. linear growth over timeLinear vs. exponential growth: from dataIntro to arithmetic sequencesSequences introIntro to geometric sequencesArithmetic sequence problemExplicit & recursive formulas for geometric sequencesGraphing exponential growth & decayConverting recursive & explicit forms of arithmetic sequencesGraphs of exponential growthSequences word problemsLinear vs. exponential growth: from dataExponential decay introExponential vs. linear models: verbalConverting recursive & explicit forms of geometric sequencesModeling with basic exponential functions word problemLinear vs. exponential growth: from data (example 2)Explicit formulas for arithmetic sequencesRecursive formulas for arithmetic sequences
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