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Sequences

Learning tasks
                    
Lesson
Text book
Exercises Correction
A) Infinite Limits
    1) Understanding Sequence Convergence through IntervalsEx 1 Ex 2 Ex 3
    2) Conjecturing Sequence Limits NumericallyEx 4 Ex 5 Ex 6
B) Finite Limits and Convergence
    3) Conjecturing Sequence Convergence and Divergence NumericallyEx 7 Ex 8 Ex 9 Ex 10
C) Operations on Limits
    4) Applying Sum and Product RulesEx 11 Ex 12 Ex 13
    5) Applying the Quotient RuleEx 14 Ex 15 Ex 16
    6) Calculating Limits using Algebraic OperationsEx 17 Ex 18 Ex 19 Ex 20 Ex 21
    7) Resolving Indeterminate Forms by FactorizationEx 22 Ex 23 Ex 24 Ex 25
D) Comparison and Squeeze Theorems
    8) Using Comparison to Determine a LimitEx 26 Ex 27 Ex 28
    9) Using the Squeeze Theorem to Determine a Finite LimitEx 29 Ex 30
E) Limits of Geometric Sequences
    10) Calculating the Limit of a Geometric SequenceEx 31 Ex 32 Ex 33
    11) Conjecturing Sequence Limits NumericallyEx 34 Ex 35 Ex 36
    12) Calculating the Limit of a Geometric SequenceEx 37 Ex 38 Ex 39
    13) Modeling Real-World Evolutions with Geometric SequencesEx 40 Ex 41
F) Graphical Analysis of Recurrence Sequences
    14) Analyzing the Graphical Representation of SequencesEx 42 Ex 43 Ex 44 Ex 45 Ex 46 Ex 47
    15) Analyzing Recurrence Sequences GraphicallyEx 48 Ex 49 Ex 50
G) Arithmetic-Geometric Sequences
    16) Analyzing Arithmetic-Geometric SequencesEx 51 Ex 52 Ex 53
    17) Studying an Arithmetic-Geometric SequenceEx 54
    18) Finding the Explicit Form of a SequenceEx 55 Ex 56 Ex 57
H) Modeling Real-World Situations
    19) Modeling Simple Linear and Geometric ChangesEx 58 Ex 59
    20) Constructing Arithmetic-Geometric ModelsEx 60 Ex 61 Ex 62
    21) Predicting Long-Term Trends and LimitsEx 63 Ex 64