Embedded Files
Standards Assessed:
Standards Assessed:
PC.F-BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
PC.F-LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Learning Targets:
Learning Targets:
Determine if a sequence converges or diverges.
Find the sum of an infinite geometric series.
Essential Questions:
Essential Questions:
What makes something infinite?
Can something that is infinite go towards something specific?
Vocabulary:
Vocabulary:
Converge
Diverge
Infinite sequence
Infinite series
Warm Up
Warm Up
Find the sum of the first 5 terms of the geometric sequence whose first term is 3 and ratio is 4.
Find the 13th term of the geometric sequence from question 1.
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