"Coursework.Info has provided an invaluable site for both myself and my students." - Gill Burbridge, Central Sussex College
 

3 Reasons why you will love Coursework.Info

  • we can give you unlimited access to 167,690 academic essays
  • we are used by and approved by teachers
  • Our essays protected by Turnitin anti-plagiarism software
Join Now

Growing Squares


Art & Design (334 Essays)
open Biology (3,084 Essays)
open Business Studies (3,029 Essays)
open Chemistry (569 Essays)
Classics (349 Essays)
Computer Science (522 Essays)
Design and Technology (139 Essays)
open Drama (1,693 Essays)
open Economics (919 Essays)
open English Language (824 Essays)
open English Literature (7,375 Essays)
General Studies (81 Essays)
open Geography (2,527 Essays)
Healthcare (1,022 Essays)
open History (5,797 Essays)
open Information & Communication Technology (566 Essays)
open Law (891 Essays)
close Maths (414 Essays)
Core & Pure Mathematics (142 Essays)
Decision Mathematics (9 Essays)
Mechanics (6 Essays)
Probability & Statistics (257 Essays)
open Media Studies (2,984 Essays)
Miscellaneous (174 Essays)
open Modern Foreign Languages (609 Essays)
Music (324 Essays)
open Physical Education (Sport & Coaching) (1,360 Essays)
open Physics (1,043 Essays)
open Politics (1,919 Essays)
open Psychology (2,673 Essays)
open Religious Studies & Philosophy (1,251 Essays)
open Sociology (1,340 Essays)
Words:
1164
Submitted:
Sun Aug 03 2003
Average rating:
(2 votes)
View users' reviews
Preview
Page 1 of 6
Have a little read...
here's a preview of the first 150 words of this essay with formatting removed for you to read
Growing Squares

... Growing Squares I have decided to find a formula to find the nth term. To help me find the nth term I shall compose a table including all the results I know. Pattern Number Number of Squares 1st Difference 2nd Difference 1 1 4 4 2 5 8 3 13 4 12 4 25 The 2nd difference is constant; therefore the equations will be quadratic. The general formula for a quadratic equation is an2 + bn +c. The coefficient of n2 is half that of the second difference Therefore so far my formula is: 2n2 + [extra bit] I will now attempt to find the extra bit for this formula. Pattern Number Extra Bit 1st Difference 2nd Difference 1 2 6 4 2 8 10 3 18 4 14 4 32 From my table of results I have found the formula to be 2n2 + 2n + 1 I will now check my formula by substituting a value from the table in to my formula: E.g. n = 2 Un = 2 (2) 2 - 2 (2) + 1 = 8. For Diagrams 1 - 4 I can see a pattern with

Get instant access for only £4.99 or swap your work for FREE access

User Reviews of this Essay

What our users think of this essay:

"From the beginning of the work, it isn't immediately clear exactly what the author is attempting to achieve - a brief introductory paragraph, along with some diagrams to illustrate the results that have been tabulated, would be a huge help to the clarity of the investigation write-up. In terms of the mathematical content itself, the logic following in reaching conclusions is clear and well explained, and the important step of testing of these conclusions is carried out. However, the final step of demonstrating a rigorous proof is omitted, a step which would lift the quality of the work substantially. It's good to see a number of cases investigated (squares, hexagons and cubes), but there doesn't appear to be any rationale given for why these shapes are chosen over other possibilities. An overall conclusion for a general n-sided shape would have been good to see, even if only for a 2D shape and not for 3D. TSR user: Illusionary"
TSR

Other Similar Coursework

Not found exactly what you were looking for? Here are some essays which are similar to this one:

Title Members Rating
The Change of Sign method locates the root of an equation by where it crosses the x-axis.
Read a preview
Solution of Equations by Numerical Methods
Read a preview
Methods for Advanced Mathematic
Read a preview
Numerical Methods Coursework
Read a preview
Change of sign.
Read a preview
Numerical Differentiation
Read a preview
Sars Math Portfolio 1.
Read a preview
Quadratic and other models
Read a preview
Solution of equations by numerical methods.
Read a preview
In maths equations can be solved using various methods. A very common and efficient method in solving equations is algebraically. But not all equations can be solved algebraically; these equations must be solved using numeric methods.
Read a preview
we can give you unlimited access to 148,305 academic essays
Get instant access for only £4.99 or swap your work for FREE access

Most Popular Core & Pure Mathematics Essays

Want to know what everybody else is looking at? Here are some essays that have been the most popular choices of our Core & Pure Mathematics essays:

Title Members Rating
Critically consider one invasive method and one non-invasive method of studying the brain
Read a preview
Solutions of Equations by Numerical Methods - Change of sign Method and Decimal Search Method.
Read a preview
Estimate a consumption function for the UK economy explaining the statistical techniques you have used.
Read a preview
Change of sign method.
Read a preview

Most Recent Core & Pure Mathematics Essays

Looking for the most up to date essays? Here are some of the most recently added essays in our Core & Pure Mathematics category:

Title Members Rating
Maths Portfolio 2
Read a preview
C3 Mei - Numerical Methods to solve equations
Read a preview
MEI C3 Coursework
Read a preview
The Gradient Function
Read a preview
GCSE

89,238 GCSE essays and coursework documents...

Whatever your subject, Coursework.Info provides model essays to give you ideas and inspiration for your GCSE coursework.


Here are our largest categories at GCSE level:

AS and A Level

43,812 AS and A Level essays and coursework documents...

Struggling for inspiration with your coursework? Coursework.Info illustrates a huge range of A level essay approaches to give you some ideas. Want IB coursework?


Here are our largest categories at AS and A Level level:

University

31,558 University essays and coursework documents...

Compare thousands of Degree-level essays instantly - Coursework.Info provides model coursework to help you analyse and critique.


Here are our largest categories at University level:

we can give you unlimited access to 148,305 academic essays
Get instant access for only £4.99 or swap your work for FREE access
Feedback Form