big ideas - algebra 2 - chapter 8.pdf - 8 8.1 8.2 8.3 8.4...

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8.1Defining and Using Sequences and Series8.2Analyzing Arithmetic Sequences and Series8.3Analyzing Geometric Sequences and Series8.4Finding Sums of Infinite Geometric Series8.5Using Recursive Rules with Sequences8Sequences and SeriesMarching Band(p. 423)Skydiving(p. 431)Tree Farm(p. 449)Fish Population(p. 445)Museum Skylight(p. 416)MarchingBand(p.423)MuseumSkylight(p 416)()Tree Farm(p.449)Fi h Pl ti(445)SEE the Big IdeaChapter Learning Target:Understand sequences and series.Chapter Success Criteria:I can define and use sequences and series.I can describe how to find sums of infinitegeometric series.I can analyze arithmetic and geometricsequences and series.I can explain how to write recursive rulesfor sequences.
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Chapter 8 / Exercise 4
Essential Calculus: Early Transcendentals
Stewart
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407Maintaining Mathematical ProficiencyMaintaining Mathematical ProficiencyEvaluating FunctionsExample 1Evaluate the functiony=2x210 for the valuesx=0, 1, 2, 3, and 4.Input,x2x210Output,y02(0)2101012(1)210822(2)210232(3)210842(4)21022Copy and complete the table to evaluate the function.1.y=32x2.y=5x2+13.y=4x+24xy123xy234xy51015Solving EquationsExample 2Solve the equation 45=5(3)x.45=5(3)xWrite original equation.455=5(3)x5Divide each side by 5.9=3xSimplify.log39=log33xTake log3of each side.2=xSimplify.Solve the equation. Check your solution(s).4.7x+3=315.116=4(12)x6.216=3(x+6)7.2x+16=1448.14x8=179.8(34)x=27810.ABSTRACT REASONINGThe graph of the exponential decay functionf(x)=bxhas anasymptote y=0. How is the graph offdifferent from a scatter plot consisting of the points(1, b1), (2,b1+b2), (3,b1+b2+b3), . . .? How is the graph offsimilar?Dynamic Solutions available atBigIdeasMath.com
408Chapter 8Sequences and SeriesMathematicalMathematicalPracticesPracticesUsing Appropriate Tools StrategicallyMathematically proficient students consider the available tools whensolving a mathematical problem.Monitoring ProgressMonitoring ProgressUse a spreadsheet to help you answer the question.1.A pilot flies a plane at a speed of 500 miles per hour for 4 hours. Find the total distanceflown at 30-minute intervals. Describe the pattern.2.A population of 60 rabbits increases by 25% each year for 8 years. Find the population atthe end of each year. Describe the type of growth.3.An endangered population has 500 members. The population declines by 10% each decadefor 80 years. Find the population at the end of each decade. Describe the type of decline.4.The top eight runners finishing a race receive cash prizes. First place receives $200, secondplace receives $175, third place receives $150, and so on. Find the fifth through eighth placeprizes. Describe the type of decline.Using a SpreadsheetYou deposit $1000 in stocks that earn 15% interest compounded annually. Use a spreadsheet tofind the balance at the end of each year for 8 years. Describe the type of growth.

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Term
Spring
Professor
Graham,L
Tags
Algebra, Geometric Series, Sequences And Series, Geometric progression, Mathh
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Essential Calculus: Early Transcendentals
The document you are viewing contains questions related to this textbook.
Chapter 8 / Exercise 4
Essential Calculus: Early Transcendentals
Stewart
Expert Verified

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