Maths A-Level Resources for AQA, OCR and Edexcel
LEARNING OBJECTIVES: To define and illustrate arithmetic seriesTo solve for the value of an arithmetic seriesTo apply the concepts of arithmetic series to solve real-life problems MATH CONCEPTS ARITHMETIC SERIES – it is the sum of the terms in an arithmetic sequence/progression. GENERAL FORMULA FOR ARITHMETIC SERIES – It is a formula to be used … Read more
In this section, we will learn about “Proof by Exhaustion”. After reading this article we will be able to prove any statement by exhaustion. Introduction As we have studied before, that “proving a mathematical statement is an art”. There are many techniques to prove the mathematical statement. In this section, we are going to discuss … Read more
In this article, we will learn “how to prove a statement by deduction?” Content Introduction Definition Methodology Practical Examples Summary Introduction In mathematics proving some statement is always a critical work. Because any statement in mathematics has its significance. Here we are discussing one of the techniques to prove whether the statement is true or … Read more
In this article, we will learn “How to disprove a statement by counterexample?” Introduction Some time in mathematical science we find a statement that looks true but in actual it is not true due to some reason. We need just an example to show that, the given statement is not true is called disproof by … Read more
In this section, we will learn, “how to complete square of the quadratic equation” and able to find the “solution of the quadratic equation”. Introduction Completing the square of any quadratic equation helps us to find the solution of the quadratic equation and gives us a vertex form of any quadratic equation. By vertex form, … Read more
Introduction What do you get when you join three distinct points, that are not located on a single line, in a plane? That is right, a triangle. Triangles appear to be simple and innocent. In fact, a triangle is the simplest polygon (a closed 2-D shape with straight sides). Ironically, in mathematics there is a … Read more