# Integer Sequences

Video solutions to help Grade 7 students learn how to examine sequences and the notation used to describe them.

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Lesson Plans and Worksheets for Algebra I

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Common Core For Algebra I

## New York State Common Core Math Module 3, Algebra I, Lesson 1

### Lesson 1 Student Outcomes

• Students examine sequences and are introduced to the notation used to describe them.

Lesson 1 Summary

A sequence can be thought of as an ordered list of elements. To define the pattern of the sequence, an explicit formula is often given, and unless specified otherwise, the first term is found by substituting 1 into the formula. Lesson 1 Exit Ticket

1. Consider the sequence given by a "plus 8" pattern: 2, 10, 18, 26, .... Shae says that the formula for the sequence is f(n) = 8n + 2. Marcus tells Shae that she is wrong because the formula for the sequence is f(n) = 8n - 6.
a. Which formula generates the sequence by starting at n = 1? At n = 0?
b. Find the 100th term in the sequence.

2. Write a formula for the sequence of cube numbers: 1, 8, 27, 64 ....