FM.3.BTAII.17: 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]

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
For the arithmetic sequence:


Complete the recursive formula:
For the arithmetic sequence:


Complete the recursive formula:
For the arithmetic sequence:


Complete the recursive formula:
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
Goblins

1-on-1 AI tutoring aligned to FM.3.BTAII.17. 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 →