Problem Statement:
A spiralateral is a sequence of line segments that form a spiral like shape. To draw one you simply choose a starting point, and draw a line the number of units that's first in your sequence. Always draw the first segment towards the top of your paper. Then make a clockwise 90 degree turn and draw a segment that is as long as the second number in your sequence. Continue to complete your sequence. Some spiralaterals end at their starting point where as others have no end, this will be further explained later in the write up. I explored the patterns created by length of the sequence used to create the spiralaterals. I also explored the difference in the pattern when the numbers were in a different order.

Process:
Initially I believed that all spiralaterals ended at their starting point, but I later found out that this wasn't true. I also believed that the order of the sequence of numbers wouldn't change the shape but it would simply have it turned a different way.

For each of my exploration questions I simply drew spiralaterals that satisfied the question. For example one of my questions was "Does the number of numerals in the sequence change the pattern?" To test this I drew a three number spiralateral, a 4 sequence spiralateral and a 5 sequence spiralateral, I found out that the number of numbers actually does affect the pattern of the spiralateral. I had no problems trying to solve this POW.

I had no assistance in doing this POW.

Results and Conclusions:
As I drew the spiralaterals I found that spiralaterals with an even number of numbers in each sequence tended not to end at the starting point. I also discovered that if they had an even number of numerals in the sequence, but they repeated a number then it would end. All spiralaterals with an odd number of numerals will end where the started and continue to cycle around. If a spiralateral repeats a number then it must end; this applies to all sequences whether they be odd...

...SEQUENCE
* In mathematics, informally speaking, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Most precisely, a sequence...

...In my research of the Fibonacci Numbers, I have found that the Fibonacci numbers appear anywhere from leafs on plants, patterns of flowers, in fruits, some animals, even in the human body. Could this be nature’s numbering system?
For those who are unfamiliar with the Fibonacci numbers they are a series of numbers discovered by Leonardo Fibonacci in the 12th century in an experiment with rabbits. The order goes as follows: 1, 1, 2, 3,...

...The numbers are overwhelming: Over the next 17 years, 350 million rural residents (more than the entire U.S. population today) will leave the farm and move to China’s cities. That will bring the Chinese urban population from just under 600 million today to close to 1 billion, changing China into a country where more than two-thirds of its people are city dwellers, says Jonathan Woetzel, a director in McKinsey’s Shanghai office. The change will reverse China’s centuries-old...

...----------------------------------------------------------------------------------1. What are the total number of divisors of 600(including 1 and 600)?
a.
b.
c.
d.
24
40
16
20
2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a.
b.
c.
d.
2870
2000
5650
44100
3. What is∑
items?
a.
b.
c.
d.
(
), where
is the number of ways of choosing k items from 28
) where
is the...

...The Construction Sequence
Although the specific sequence of construction steps varies and overlaps, generally we build your home in the following order:
▪ Survey
▪ Permits
▪ Sewer & Water
▪ Plan Commission
▪ Building Department
▪ Foundation
▪ Excavation
▪ Footer
▪ Form and pour walls
▪ Perimeter drain
▪ Waterproof
▪ Ground...

...Sequence Essay
In a sequence essay, you are writing to describe a series of events or a process in some sort of order. Usually, this order is based on time. You organize the essay by writing about each step of the process in the order it occurred.
Example question: | Write an essay outlining the stages of the salmon life cycle. |
Introduction: | Describe what a salmon is like. |
Supporting paragraphs: | 1. Describe young salmon. |
| 2. Describe adult...

...Sequences and Convergence
Let x1 , x2 , ..., xn , ... denote an infinite sequence of elements of a metric space
(S, d). We use {xn }∞
n=1 (or simply {xn }) to denote such a sequence.
Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0
when n tends to infinity iff: For all > 0, there exists N ∈ N such that for all
n > N , d(xn , x0 ) <
We denote this convergence by lim xn = x0 or simply xn −→ x0 .
n→∞
Example 2...

1298 Words |
4 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":33121054,"categoryName":"Literature","categoryParentId":null,"currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"1-2","totalPages":2}},"access":"premium","title":"Number and Sequence","additionalIds":[9,103],"additional":["Entertainment","Entertainment\/Film"],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/Number-And-Sequence-122392.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}