AFM.13: Use the recursive process and difference equations to create fractals, population growth models, sequences, and series.

Use the recursive process and difference equations to create fractals, population growth models, sequences, and series.

Example Problems
Given the following recursive formula for the sequence:

and


What is ?
Given the following recursive formula for the sequence:

and


What is ?
Given the following recursive formula for the sequence:

and


What is ?
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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