CRM.FGR.4.7

Construct arithmetic and geometric sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect linear functions to arithmetic sequences and exponential functions to geometric sequences.

Example Problems


Find the fourth term in the sequence.


Find the 8th term in the sequence.


Find the 16th term in the sequence.
Khan Academy Resources
Intro to arithmetic sequencesIntro to arithmetic sequence formulasArithmetic sequences reviewExplicit formulas for arithmetic sequencesGeometric sequences reviewConverting recursive & explicit forms of arithmetic sequencesRecursive formulas for arithmetic sequencesUse arithmetic sequence formulasExtend geometric sequencesUse geometric sequence formulasExtend arithmetic sequencesRecursive formulas for arithmetic sequencesConverting recursive & explicit forms of arithmetic sequencesRecursive formulas for geometric sequencesEvaluate sequences in recursive formExplicit formulas for geometric sequencesLinear models word problemsConverting recursive & explicit forms of geometric sequencesExtend geometric sequences: negatives & fractionsExplicit formulas for arithmetic sequencesSequences and domainIntro to arithmetic sequencesSequences introIntro to geometric sequencesArithmetic sequence problemSequences and domainExplicit & recursive formulas for geometric sequencesUsing recursive formulas of geometric sequencesWorked example: using recursive formula for arithmetic sequenceConverting recursive & explicit forms of arithmetic sequencesLinear functions word problem: icebergExtending geometric sequencesUsing arithmetic sequences formulasLinear functions word problem: paintUsing explicit formulas of geometric sequencesEvaluating sequences in recursive formConverting recursive & explicit forms of geometric sequencesExtending arithmetic sequencesExplicit formulas for arithmetic sequencesRecursive formulas for arithmetic sequences
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