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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
For more instructional resources CLICK me here and please DON'T FORGET TO SUBSCRIBE. ļļļ
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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
Geometric Series and Finding the Sum of Finite Geometric SequenceFree Math Powerpoints
Ā
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Contents:
1. Geometric Sequence
2. Geometric Means
3. Geometric Series
with activities
Feel free to send me a message at regie.naungayan@deped.gov.ph for corrections or other suggestions
You will learn how to get the value of a, b and c given a quadratic equations.
For more instructional resources, CLICK me here! ššš
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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
For more instructional resources CLICK me here and please DON'T FORGET TO SUBSCRIBE. ļļļ
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LIKE and FOLLOW us on Slideshare!
https://www.slideshare.net/FreeMathVi...
https://www.slideshare.net/ArielRogon2
References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
Geometric Series and Finding the Sum of Finite Geometric SequenceFree Math Powerpoints
Ā
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE! ļļļ
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here! ļļļ
https://tinyurl.com/ycjp8r7u
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Contents:
1. Geometric Sequence
2. Geometric Means
3. Geometric Series
with activities
Feel free to send me a message at regie.naungayan@deped.gov.ph for corrections or other suggestions
You will learn how to get the value of a, b and c given a quadratic equations.
For more instructional resources, CLICK me here! ššš
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here! ššš
https://tinyurl.com/ycjp8r7u
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3 examples of PDE, for Laplace, Diffusion of Heat and Wave function. A brief definition of Fouriers Series. Slides created and compiled using LaTeX, beamer package.
Arithmetic progression
For class 10.
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant
SEQUENCE AND SERIES
SEQUENCE
Is a set of numbers written in a definite order such that there is a rule by which the terms are obtained. Or
Is a set of number with a simple pattern.
Example
1. A Ā set of even numbers
Ā Ā Ā Ā ā¢ 2, 4, 6, 8, 10 ā¦ā¦
2. A set of odd numbers
Ā Ā Ā Ā ā¢ 1, 3, 5, 7, 9, 11ā¦.
Knowing the pattern the next number from the previous can be obtained.
Ā Example
Ā 1. Find the next term from the sequence
Ā Ā ā¢ 2, 7, 12, 17, 22, 27, 32
The next term is 37.
2. Given the sequence
Ā Ā ā¢ 2, 4, 6, 8, 10, 12ā¦ā¦ā¦
The presentation has first a drill on signed numbers. Then, it provides a definition examples and activities for the topics, " Finding the nth term of an Arithmetic Sequence, Arithmetic Mean and Arithmetic Series.".
How to Split Bills in the Odoo 17 POS ModuleCeline George
Ā
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Ā
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Ā
Andreas Schleicher presents at the OECD webinar āDigital devices in schools: detrimental distraction or secret to success?ā on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus āManaging screen time: How to protect and equip students against distractionā https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective āStudents, digital devices and successā can be found here - https://oe.cd/il/5yV
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
Ā
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesarās dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empireās birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empireās society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
Ā
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
3. Arithmetic Series
ļ A series such as (3 + 7 + 11 + 15 + Ā·Ā·Ā· + 99
or 10 + 20 + 30 + Ā·Ā·Ā· + 1000) which has a
constant difference between terms.
first term is a1
common difference is d
number of terms is n
sum of an arithmetic series is Sn
ļ An arithmetic series is the sum of an
arithmetic sequence.
5. Arithmetic Series
ļ Example #1:
3 + 7 + 11 + 15 + Ā·Ā·Ā· + 99 has a1 = 3 and d = 4. To
find n, use the explicit formula for an arithmetic
sequence.
We solve:
3 + (n ā 1)Ā·4 = 99 to get n = 25.
6. Arithmetic Series
ļ Example #2:
Find the sum of the first 12 positive even
integers.
positive even integers: 2, 4, 6, 8, ...
n = 12; a1 = 2, d = 2
We are missing a12, for the sum formula so we
will use
= 12/2[2(2) + (12 ā 1)2]
= 6[4 + 22]
= 6(26)
= 156
7. Arithmetic Series
ļ Activity:
Find the sum of each arithmetic series.
1. Find the sum of the sequence
-8, -5, -2, ..., 7
2. Find the sum of the first 10 positive integers
3. Find the sum of the first 20 terms of the
sequence 4, 6, 8, 10, ...
Answers:
1. -3
2. 55
3. 460
9. Arithmetic Mean
ļ The numbers between
arithmetic extremes are
called arithmetic mean,
found in an arithmetic
sequence wherein each
term is obtained by adding
a fixed value called the
common difference.
Example:
4, 7, 10, 13, 16
The arithmetic means
are 7, 10 and 13
9, 15, 21
The arithmetic mean
is 15
11. Word Problem
ā¢ John recruited 2 persons for the networking
business. After a week, he recruited 5 persons again
and on the 5th week of recruitment, he recruited
another 14 persons for the networking business. If
this continues, how many persons did John already
recruited after the 6th week of recruitment?
an = ?
a1 = 2
d = 3
n = 6
Sn = n/2 [2a1 + (n - 1)d]
S6= 6/2 [2(2) + (6 - 1)3]
S6= 3 [4 + (5)3]
S6 = 3 [4 + (15)]
S6 = 3 [19]
S6 = 57
John already recruited 57 persons after 6 weeks of
recruitment