AI.F-IF.A.3: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n - 1) for n ≥ 1.

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n - 1) for n ≥ 1.

Example Problems
What is the next term of the geometric sequence?
For the arithmetic sequence:


What is ?
For the arithmetic sequence:


What is ?
Khan Academy Resources
Intro to arithmetic sequencesIntro to arithmetic sequence formulasGeometric sequences reviewUse arithmetic sequence formulasExtend geometric sequencesUse geometric sequence formulasExtend arithmetic sequencesRecursive formulas for geometric sequencesExtend geometric sequences: negatives & fractionsIntro to arithmetic sequencesIntro to geometric sequencesArithmetic sequence problemSequences and domainUsing recursive formulas of geometric sequencesWorked example: using recursive formula for arithmetic sequenceExtending geometric sequencesUsing arithmetic sequences formulasUsing explicit formulas of geometric sequencesExtending arithmetic sequences
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