What do we have in common? You need matchsticks in this activity. 1. Below are squares formed by matchsticks. count the number of matchsticks in each figure and record the results in a table. 8 9. 10 3. 4 6. Number of Squares 1 Number of Matchsticks Guide Questions: 1. Is there a pattern in the number of matchsticks? If there is any, describe it. 2. How is each term (number of matchsticks) found? 3. What is the difference between any two consecutive terms? Now you will learn the rule for finding the nth term of an arithmetic sequence. In general, the first n terms of an arithmetic sequence with a as the first term and d as common difference are an = a1+ (n– 1)d

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Notes to
Arithmetic Sequence.
What is It
What do we have in common?
You need matchsticks in this activity.
1. Below are squares formed by matchsticks.
. Count the number of matchsticks in each figure and record the results in a
table.
Number of Squares
1
4
8
9
10
Number of Matchsticks
Guide Questions:
1. Is there a pattern in the number of matchsticks? If there is any, describe it.
2. How is each term (number of matchsticks) found?
3. What is the difference between any two consecutive terms?
Now, you will learn the rule for finding the nth term of an arithmetic sequence. In
eral the first n terms of an arithmetic sequence with a, as the first term and
d as common difference are
an = a1+(n-1)d
6.
Transcribed Image Text:Notes to Arithmetic Sequence. What is It What do we have in common? You need matchsticks in this activity. 1. Below are squares formed by matchsticks. . Count the number of matchsticks in each figure and record the results in a table. Number of Squares 1 4 8 9 10 Number of Matchsticks Guide Questions: 1. Is there a pattern in the number of matchsticks? If there is any, describe it. 2. How is each term (number of matchsticks) found? 3. What is the difference between any two consecutive terms? Now, you will learn the rule for finding the nth term of an arithmetic sequence. In eral the first n terms of an arithmetic sequence with a, as the first term and d as common difference are an = a1+(n-1)d 6.
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