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Sum of An Arithmetic Sequence

The lesson plan is for a math lesson on finding the sum of the first n terms of an arithmetic sequence. It includes objectives, subject matter, procedures, examples worked out step-by-step, and a generalization. Students will then evaluate their understanding by answering questions to find the sum of given arithmetic sequences in their activity notebooks. Their homework is to research the Fibonacci sequence and geometric sequences.

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Jerson Yhuwel
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489 views2 pages

Sum of An Arithmetic Sequence

The lesson plan is for a math lesson on finding the sum of the first n terms of an arithmetic sequence. It includes objectives, subject matter, procedures, examples worked out step-by-step, and a generalization. Students will then evaluate their understanding by answering questions to find the sum of given arithmetic sequences in their activity notebooks. Their homework is to research the Fibonacci sequence and geometric sequences.

Uploaded by

Jerson Yhuwel
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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MATH 10 LESSON PLAN

Prepared by: Jonathan Ian S. Ubas Teaching Date: June 27, 2019

Time: Industrious (10:00 - 11:00)

I. OBJECTIVES
At the end of the lesson, students will be able to:
1. find the sum of the first n terms of an arithmetic sequence.

II. SUBJECT MATTER


1. Topic : Sum of an Arithmetic Sequence - M10AL-Ic-2
2. Reference : G10 LM, pp.12-15
3. Materials : Visual Aids, activity notebook

III. PROCEDURE :
1. Preliminary Activities
1.1 Prayer and greetings
1.2 Checking of attendance
1.3 Setting of class mode
2. Lesson Proper
 Discussion
SUM OF AN ARITHMETIC SEQUENCE
Formula:
n
sn  2a1  n  1d 
2
where sn = sum of the first n terms of an arithmetic sequence
a1 = first term
d = common difference between the terms.

Example 1. Find the sum of the first 10 terms of the arithmetic sequence 5, 9, 13, 17,…
Given: n = 10, d = 4
Solution:

= 2a1  n  1d 
n
S10
2

=
10
25  10  14 = 230
2
Example 2. Find the sum of the first 20 terms of the arithmetic sequence -2, -5, -8, -11
Given: n = 20, d = -3
Solution:
= 2a1  n  1d 
n
S20
2
=
20
2 2  20  1 3 = -610
2

Example 3. Add up the first 15 terms of the arithmetic sequence { 1, 4, 7, 10, 13, ... }
Given: n = 16, d = 3
Solution:
S20 =
n
2a1  n  1d 
2

=
16
21  16  13 = 376
2

 Generalization
n is always the number of terms of an arithmetic sequence you are asked to sum up and
d is always the common difference between the terms. To find the sum of an arithmetic sequence
(S20), simply substitute the values of n and d in the formula given above.

IV. EVALUATION

Direction: In Activity notebook: Answer the following questions. Show your solution.
Find the sum of the finite arithmetic sequence below

1. -2, -6, -10, -14,…


2. 3, 5, 7, 9, 11,…
3. 10, 5, 0, -5, -10, -15,…
4. -2, -5, -8, -11, -14, -17,…
5.

V. ASSIGNMENT

Research about:
1. Fibonacci Sequence
2. Geometric Sequence

Level of Mastery:
Mastery
Nearing Mastery
Needs Remediation

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