M.A1HS.20
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (e.g., 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
Priya is writing an explicit function for the geometric sequence:
She comes up with:
What domain should Priya use for t, where n is an integer, so it generates the sequence?
She comes up with:
What domain should Priya use for t, where n is an integer, so it generates the sequence?
Ethan is writing an explicit function for the geometric sequence:
He comes up with:
What domain should Ethan use for t, where n is an integer, so it generates the sequence?
He comes up with:
What domain should Ethan use for t, where n is an integer, so it generates the sequence?
Kiara is writing an explicit function for the geometric sequence:
She comes up with:
What domain should Kiara use for t, where n is an integer, so it generates the sequence?
She comes up with:
What domain should Kiara use for t, where n is an integer, so it generates the sequence?
Khan Academy ResourcesIntro 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
1-on-1 AI tutoring aligned to M.A1HS.20. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →