1. Below are squares formed by matchsticks. 2. Count the number of matchsticks in each figure and record the results in a table. Number of Squares 3. 4 8. 6. 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 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 %3D 6. 2.
1. Below are squares formed by matchsticks. 2. Count the number of matchsticks in each figure and record the results in a table. Number of Squares 3. 4 8. 6. 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 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 %3D 6. 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:What is It
Solution ne
Then
What do we have in common?
You need matchsticks in this activity.
1. Below are squares formed by matchsticks.
Therefore, the 10 term of the arithetic sequence
The rule for finding the n te
problems involving arithmetic
in an arithmetic sequence
metic
Example:
2. Count the number of matchsticks in each figure and record the results in a
Find the missing term of the arithmetic seoue
table.
1)
8. 11, 14
Solution:
Number of Squares
4
7
8
9.
10
Use the ruale: a a+(n-1)d
Substitute the given to the rule: an
Number of Matchsticks
Given:
d- 3
Find
Guide Questions:
14
1. Is there a pattern in the number of matchsticks? If there is any, describe it.
14
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
Since a = -1
%3D
d as conmmon difference are
an = a1 + (n - 1)d
3.
2.
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