+ 2 + 3 + 4) = 15 T6 6 + (1 + 2 + 3 + 4 + 5) = 21 T7 7 + (1 + 2 + 3 + 4 + 5 + 6) = 28 T8 8 + (1 + 2 + 3 + 4 + 5 + 6 + 7) = 36 As seen in the diagram above‚ the second difference is the same between the terms‚ and the sequence is therefore quadratic. This means that the equation Tn = an2 + bn + c will be used when
Premium Mathematics Real number Triangle
| INFINITE SURDS | Ria Garg | | The purpose of my investigation is to find the general statement that represents all values of k in an infinite surd for which the expression is an integer. I was able to achieve this goal through the process of going through various infinite surds and trying to find a relationship between each sequence. In the beginning stages of my investigation I came across the sequence of ` a1= 1+1 a2= 1+1+1 a3 = 1+1+1+1 While looking at the sequence
Premium Real number Quadratic equation Elementary algebra
JTG- Ch.2 Euclid’s Proof of the Pythagorean Theorem Century and a half between Hippocrates and Euclid. Plato esteemed geometry to be the entrance to his Academy. Let no man ignorant of geometry enter here. “Logical scandal” Theorems were believed to be correct as stated but they lacked the material to prove them. Euclid’s Elements was said to become the staple of mathematics or the standard. 13 books‚ 465 propositions (not all Euclid but rather a collection of great mathematicians
Premium Euclidean geometry Geometry Mathematics
intercepts * slope and one point * any two points 6. Solve problems involving linear functions C. Quadratic Functions 1. Demonstrate knowledge and skill related to quadratic functions and apply these in solving problems 1.1 Identify quadratic functions f(x) = ax2 + bx + c 1.2 Rewrite a quadratic function ax2 + bx + c in the form f(x) = a(x-h)2 + k and vice versa 1.3 Given
Premium Function
We already know that following are the important cost concepts related to the production process of a firm: • Fixed Cost • Varibale Cost • Average Cost • Marginal Cost please refer to following page Introduction to Cost Concepts to understand various cost concepts in detail. Here we will briefly state again the meaning of above stated cost concepts for better understanding of the module on short run cost analysis. Fixed Cost is that cost which does not change (that is either goes up or
Premium Marginal cost Costs Economics
Review of Algebra 2 s REVIEW OF ALGEBRA Review of Algebra q q q q q q q q q q q q q q q Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus. Arithmetic Operations The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular‚ putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law) ab c a bc 1 in the
Premium Elementary algebra Quadratic equation Addition
Module Three Pretest 03.01 Greatest Common Factors and Special Products 03.02 Factoring by Grouping 03.03 Sum and Difference of Cubes 03.04 Graphing Quadratics 03.05 Module Three Quiz – EXEMPTED ITEM‚ Please skip 03.06 Completing the Square 03.07 Solving Quadratic Equations 03.08 Solving Quadratic Equations with Complex Solutions 03.09 Investigating Quadratics 03.10 Module Three Review and Practice Test 03.11 Discussion-Based Assessment 03.12 Module Three Test 04.00 Module Four Pretest 04.01 Polynomial
Premium Elementary algebra Polynomial Quadratic equation
the solution to their simultaneous equations. Note: When a line meets a curve there will be 0‚ 1‚ or two solutions. 1. Use substitution to solve the simultaneous equations 2. Rearrange them to form a quadratic equation 3. Solve the quadratic by factorising‚ or by using the quadratic formula. 4. Find the y-coordinates by substituting these values into the original equations. Other Graphs (also in Functions): Sketch the curve by finding: 1. Where the graph crosses the y-axis.
Premium Analytic geometry Euclidean geometry Cartesian coordinate system
The Ancient Greek culture has had such an impact on the world that no matter where you look you ’re sure to find something Greek about it. Out of all the areas that the Greek culture is famous for there are two that tend to exert themselves into our own culture even today. That would be their Science and Astronomy fields. If one were to look up in a library books about ancient Greek science and astronomy they would have a mountain of books to sift through. There seem to be so many individuals
Premium Moon Sun Mathematics
LABORATORY REPORT Acceleration Due to Gravity Table of contents Objective 1 Equipment 1 Procedures 1 Recorded data‚ calculated results‚ and graphs 1 Discussion 3 Conclusions 3 Objective In this project we attempted to confirm that the acceleration
Premium Acceleration