Common Core: High School - Functions : Write, Model, and Translate Arithmetic and Geometric Sequences Recursively and Explicitly: CCSS.Math.Content.HSF-BF.A.2
Study concepts, example questions & explanations for Common Core: High School - Functions
All Common Core: High School - Functions Resources
Example Questions
Example Question #41 : Building Functions
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Example Question #42 : Building Functions
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
All Common Core: High School - Functions Resources
