## Reflection: Homework The Recursive Process with Arithmetic Sequences - Section 3: Independent Practice

While observing my students working on the Independent Practice, I recognized that they were struggling with understanding the difference between the nth term (a subscript n) and n (the numerical position).  I decided to stop their work on the handout and clarify the difference between the two.  While I retaught this, I referred back to the Table Problem from the Warmup.

In the table problem, the ninth table sat twenty people, so the 9th term is 20. The n is 9. Then, n-1 would be 8, but the previous term a subscript n-1 is 18.

Also, when there were 36 people, there were 17 tables, so the 17th term is 36, but n is 17 for this term. Then n-1 would be 16, but the previous term a subscript n-1 is 34.

I asked my students to complete the Independent Practice as homework, because many did not complete it in class.

Homework: Student Difficulties using the formula for the nth term of an Arithmetic Sequence

# The Recursive Process with Arithmetic Sequences

Unit 3: Linear Functions
Lesson 2 of 20

## Big Idea: This lesson takes students from the simple concrete problem of seating 4 people around a square table to the more abstract problem of finding the nth term.

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Standards:
Subject(s):
Math, independent practice, guided practice, Recursive Formula for a linear function, 4 people around a table problem, find the nth term of an arithmetic sequence, common difference
50 minutes

### Rhonda Leichliter

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