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Sequences, Series and Equations in Mathematics

Gain a better understanding of series and equations, cuboid, Hamilton circuit and path, Prim's algorithm, and more!

Series and Sequences
Free Course
This free online course in sequences, series and equations is the second of our Upper-Secondary Mathematics suite of courses. It will teach you about ratio and proportion as well as geometric sequences and arithmetic series. You will learn that a sequence is a set of numbers in which each number after the first number is formed in accordance with a definite rule. You will also learn about difference equations, linear programming, geometry, trigonometry, graphs, and more!
  • Duration

    3-4 Hours
  • Assessment

    Yes
  • Certification

    Yes
  • Publisher

    XSIQ

Description

Modules

Outcome

Certification

View course modules

Description

This course begins by teaching you about arithmetic sequences. You will learn that an arithmetic sequence is a sequence in which the difference between any two consecutive terms is the same. You will then study arithmetic series as well as geometric sequences and series. This course will then discuss the intersection of half-planes and show you how to solve linear and programming problems. You will also look into graphs, power graphs, and the linear representation of non-linear graphs.

You will then learn about Pythagoras who is a Greek mathematician who developed a theorem to find the length of the third side of a triangle. This course will also discuss the angle of elevation and depression, directions and bearings, contour maps, traverse surveys, compass bearings, and true bearings. You will look into ratio and proportion where you will learn that a ratio is a comparison between two like quantities in the same units. In addition, you will study ratio and proportion gears.

Upon the completion of this course, you will be able to calculate sequences and sequences, find the equation of a straight line, and know how to interpret graphs effectively. You will also better understand the positive and negative gradient in straight line graphs. This course will also ensure you gain a better insight into right-angled triangles, area of a triangle, the sine rule, cosine rule, Pythagoras' theorem, surface area, and volume so make sure to check out this course and enhance your math skills!

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Modules

Arithmetic series

Further Maths Glossary

Difference equations 1

Difference equations 2

Geometric sequences

Geometric series

Geometry

Graphs

Difference equations 3

Power graphs

Pythagoras and bearings

Ratio and proportion gears

Ratio and proportion

Arithmetic sequences

Straight lines

Trigonometry 1

Trigonometry 2

Assessment

Learning Outcomes

On completing of this course you will be able to calculate arithmetic sequences, geometric sequences, geometric series, difference equations and more successfully. You will understand the positive and negative gradient in straight line graphs. You will be able to find the equation of a straight line and know how to interpret graphs effectively. You will gain a good knowledge of trigonometry such as right-angled triangles, area of a triangle, the sine rule, cosine rule, Pythagoras' theorem, surface area, and volume. You will know how to simplify ratios and much more.

Certification

All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.

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    This Course has been revised!

    For a more enjoyable learning experience, we recommend that you study the mobile-friendly republished version of this course.

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