Access Point #: MAFS.912.F-BF.1.AP.2dArchived Access Point

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Select the function that models the geometric sequence written recursively.
Clarifications:

Essential Understandings

Concrete:

  • Use pictures, objects, or manipulatives to create a geometric sequence.
    Image of hearts in a geometric sequence.
  • Use multiplication to create a geometric sequence.

    Example of a multiplication geometric sequence.
Representation:
  • Understand the concepts and vocabulary: term, sequence, common difference, initial value, geometric, arithmetic, position.
  • Understand that the first term is necessary to use the explicit formula for geometric sequence. Understand that the previous term is necessary to use the recursive formula for geometric sequence.
  • Create a pattern using numbers.
    For example:
    4, 12, 36, 108,…
  • This sequence is a geometric sequence because there is a factor of 3 between each number.
  • Each term (except the first) is found by multiplying the previous term by 3.
  • Identify the first term in the sequence (begin mathsize 12px style a subscript n minus 1 end subscript end style).
  • Identify the ratio between the terms (r).
  • Substitute values into the formula begin mathsize 12px style open parentheses a subscript n space equals space a subscript n minus 1 end subscript r close parentheses end style for the first term, common ratio and selected terms to find a specific number in the sequence.
    For example:
    Example for finding a specific number in the sequence.
  • Teacher Resource: Click Here
General Information
Number: MAFS.912.F-BF.1.AP.2d
Category: Access Points
Date Adopted or Revised: 06/14
Cluster: Build a function that models a relationship between two quantities. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1201300: Mathematical Analysis Honors
1298310: Advanced Topics in Mathematics (formerly 129830A)
1200500: Advanced Algebra with Financial Applications
1200335: Algebra 2 for Credit Recovery
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

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