What is ItSolution neThenWhat 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 sequenceThe rule for finding the n teproblems involving arithmeticin an arithmetic sequencemeticExample:2. Count the number of matchsticks in each figure and record the results in aFind the missing term of the arithmetic seouetable.1)8. 11, 14Solution:Number of Squares4789.10Use the ruale: a a+(n-1)dSubstitute the given to the rule: anNumber of MatchsticksGiven:d- 3FindGuide Questions:141. Is there a pattern in the number of matchsticks? If there is any, describe it.142. 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. Ingeneral, the first n terms of an arithmetic sequence with a as the first term andSince a = -1%3Dd as conmmon difference arean = a1 + (n - 1)d3.2.

2. Number of Squares 1 2 3 4 5 6 7 8 9 10 Number of matchsticks 4 7 10 13 16 19 22 25 28 31

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

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