What Is The Sum Of The Arithmetic Sequence 8, 14, 20 …, If There Are 24 Terms? (Perfect answer)

The sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms is S24 = 1848.

What is the sum of the arithmetic sequence 8 14 20 If there are 22 terms?

Summary: The sum of the arithmetic sequence 8, 14, 20 …, if there are 22 terms is 1562.

How do you find the sum of n terms in an arithmetic sequence?

We use the first term (a), the common difference (d), and the total number of terms (n) in the AP to find its sum. The formula used to find the sum of n terms of an arithmetic sequence is n/2 (2a+(n−1)d).

What is the sum of the arithmetic sequence 3/9 if there are 24 terms?

The sum of the arithmetic sequence 3, 9, 15, if there are 24 terms is 1728.

What is the sum of the arithmetic sequence 8 14?

The sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms is S24 = 1848.

What is the sum of even integers from 10 to 90?

Hence, the sum of even integers from 10 to 90 is 2050.

How do you find the sum of a sequence?

To find the sum of an arithmetic sequence, start by identifying the first and last number in the sequence. Then, add those numbers together and divide the sum by 2. Finally, multiply that number by the total number of terms in the sequence to find the sum.

What is the sum of multiple of 3 from 15 to 45?

Since 15 and 45 are divisible by 3 they are considered as multiples of 3. Just annex the succeeding numbers by adding 3 to 15, adding 3 to 18, adding 3 to 21 and continue the process of adding 3 until you reach 45. In a set notation multiples of 3 from 15 to 45 are (15, 18, 21, 24, …., 45).

What is the sum of the arithmetic sequence 3 9 15 if there are 22 terms?

Summary: The sum of the arithmetic sequence 3, 9, 15, if there are 22 terms is 1452.

What is the sum of the arithmetic sequence 3 9 15 if there are 34 terms 5 points?

The sum of the arithmetic sequence 3, 9, 15, if there are 34 terms is 3468.

What is the 7th term of the geometric sequence where a1 1024 and a4 − 16?

Summary: Given a1 = 1,024 and a4 = -16 the value of the 7th term of the geometric series is 1/4.

What is the 7th term of the geometric sequence where a1 − 4096 and a4 64?

What is the 7th term of the geometric sequence where a1 = -4,096 and a4 = 64? Summary: The 7th term of the geometric sequence where a1 = -4,096 and a4 = 64 is -1.

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Discrete Mathematics – An Open Introduction

This is the third edition of the book, which has been updated. The previous edition is available on the site for the second edition. Discrete Mathematics: An Open Introduction is a free, open source textbook that may be used for a first or second year undergraduate course in discrete mathematics for math majors, particularly those who plan to go on to become teachers in the future. The book has been utilized as either the major textbook or a supplemental resource at more than 75 colleges and institutions throughout the world since its publication in Spring 2013.

The material has been endorsed by the Open Textbook Initiative of the American Institute of Mathematics and has received positive reviews on the Open Textbook Library.

All previously published editions will remain on the market forever.

For further information, please see theerrata list.

Since the beginning of Spring 2020, more workouts have been included. Please get in touch with the author if you have any criticism or recommendations, or if you plan to utilize the book in a course that you are teaching.

Get the book

In the form of an interactive online ebook, the full book is available for free. This should work on all screen sizes, including smart phones, with minimal modification. Hints and solutions to examples and exercises are concealed, but may be easily accessed by clicking on the links to the examples and exercises. Some exercises also allow you to enter and check your work, allowing you to attempt the task numerous times without revealing the solution. A free pdf version, appropriate for reading on a tablet or computer, is available for download for those who want to read their documents offline.

Hints and solutions (where available) may be obtained by selecting the exercise number from the drop-down menu, and selecting the number of the hint or solution will return you to the exercise.

This should be less expensive than printing and binding the complete book from the ground up.

PreTeXt (and LaTeX) source

Source files for this book are accessible on GitHub for anyone who are interested.

Instructor resources

When utilizing the book in a class that you are teaching, instructor resources are accessible upon request. If you are using the book in a class you are teaching, instructor materials are available upon request. Simply get in touch with the author. If you have access to a WeBWorK server, you may also request homework sets from the WeBWorK server (otherwise, consider using the reasonably pricedEdfinity).

About the book

Beginning as a series of lecture notes for a discrete mathematics course at the University of Northern Colorado, the text evolved into what it is today. This course provides as an introduction to issues in discrete mathematics as well as a “introduction to proofs” course for math students who are not already familiar with proofs. In most cases, the course is taught with a significant degree of student inquiry, and this work is meant to assist with that. Counting, sequencing, logic, and graph theory are the four key subjects studied in this course.

Students will develop acquainted with the language of mathematics through an introduction chapter that covers mathematical statements, sets, and functions.

While the book originated as a collection of lecture notes, it has now developed a number of elements that should make it suitable for use as a main textbook, including:

  • There are 473 exercises total, with 275 having solutions and another 109 having suggestions. The exercises range from simple to complex, with many of the problems suited for homework. Explore!activities are sprinkled throughout the book to encourage active, inquiry-based learning
  • And A comprehensive index and symbol list
  • Page style and formatting that is consistent and useful (for example, examples that are simple to recognize, significant definitions and theorems in boxes, and so on)

About the author

Oscar Levin is a professor at the University of Northern Colorado and a member of the National Academy of Sciences.

Over the course of his academic career, he has garnered several teaching accolades, including a number of national teaching prizes. In 2009, he graduated with honors from the University of Connecticut with a Ph.D. in mathematical logic.

License

Open Introduction to Discrete Mathematics by Oscar Levinis is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. You are allowed to download, use, print, and even sell this work in any way you like as long as you credit the author. You can also make as many changes to the text as you like (for example, creating a customized version for your students), as long as you provide proper credit to the author for the portions of the text that you utilize. If you are interested in utilizing portions of the book in conjunction with another work that has a comparable but different license (for example, the GFDL), please contact us to obtain permission to amend the licensing terms.

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