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 salmon.
 3. Describe what salmon do before they die.
Summary paragraph: Summarize the main steps of the salmon life cycle.
Sequence Essay Example
Life Cycle of Tulips
The life cycle of tulips start when the bulbs are planted from midSeptember to midNovember and ends when the leaves fade and eventually wither away. The cupshaped flowers are beautiful to look at and have an ability to make a glum person cheerful. This article gives an insight into the life cycle of tulips.
Tulips were considered to be the flowers of God due to their beauty and perfection, by the Turks. Many of us believe tulips are native of Holland. Contrary to the belief, there is not a single species of tulip native to Holland. Tulips belong to Central and Western Asia and it were the nomadic tribes who brought the tulips to Turkey. Turkey was called the Ottoman Empire in olden days. It were the Turks who popularized this beautiful spring flower, tulip. In the late 16th century, a European ambassador visited the Turkish Ottoman Empire. He was fascinated by the tulip garden of the Sultan. As a token of friendship, the Sultan presented the ambassador with bulbs and seeds. Ambassador presented part of his gift to the Roman emperor Ferdinand I and the remaining seeds and bulbs were to Carolus Clusius, a botanist, employed by the Roman Emperor. This is how tulips came to Europe. Carolus Clusius introduced tulips in Holland when he was appointed as the professor of Botany at Leiden University. Then onwards, the...
...The Mathematics for Essay 2
The purpose of these notes are to explain some of the mathematics behind Essay 2. Your
own essay should not just repeat these arguments but have a more geometric ﬂavor. Write
about how you can physically place the blocks. You may assume basic facts about geometric
sums and series. Let r be any real number and let n be a nonnegative integer. The sum
1 + r + r2 + · · · + rn
(1)
is a geometric sum and the inﬁnite series
1 + r + r2 + · · · + rn + · · ·
(2)
is a geometric series.
Suppose further that r = 1. Then the geometric sum (1) can be computed by the
formula
1 − rn+1
.
1 + r + r2 + · · · + rn =
1−r
This fact, which you may assume, is easily proved proved by mathematical induction.
Now suppose that r < 1. Then limn−→∞ rn = 0 which means the geometric series (2)
1
by the preceding equation. We write
converges to
1−r
1 + r + r2 + · · · + rn + · · · =
1
1−r
(3)
to indicate that the series converges and to designate the limit of the sequence of partial
sums.
Your essay will involve the geometric series
1+
1
11
+ + ··· + n + ···.
24
2
(4)
1
11
1
Since   < 1, it follows by (3) that (4) converges and 1 + + + · · · + n + · · · = 2. The
2
24
2
1
1
1
,
,
, . . . Your essay involves anaDeluxe blocks are cubes with side lengths 1,
2
3
5
lyzing the sum of their side lengths
1+
11111111
1
+ + +...
...Arithmetic Sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount. This amount is known as the common difference and can be found using a specific formula by substituting the numbers from the word problem into the equation. When you plug in all the information, you are able to find out the money that needs to be spent and saved in the following word problems.
35. A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $125 more than the preceding 10 feet will cost $125, the next ten feet will cost $150 etc. How much will it cost to build a 90 foot tower?
an=a1+ (n1) d
a125=100+ (1251) (150)
a125=100+124(150)
a125=100+18600
a125=18700
sn =n (a1 + an) / 2
= 125 (100+18700) /2
=125(1880) /2
=62.5 (18800) =1175000
The cost to build a 90foot tower is $11,750.
37. A person deposited $500 in a savings account that pays 5% annual interest that is compound yearly. At the end of 10 years, how much money will be in the savings account?
S+ (0.5) S n=10
S+ (1+0.5) r=1.05
S (1.05) a1= 500(1.05) =525
an= a1(rn1)
a10=525(1.059)
a10=525(1.551328216)
a10=814.4473134
The balance in the savings account at the end of 10 years will be $814.44.
I chose to use the Arithmetic...
...specific details, auotes, and examples support ideas. Contains an understanding of the book’s ideas with some connections to the historical period. Some ideas are developed; references are specific, but may not contain details. Understanding of book may be uneven or inaccurate. Lacks appropriate connections to the historical period. Ideas are incomplete or undeveloped; references not clear or are too brief. Lacks understanding of book and fails to make appropriate connections to historical period. Ideas are not stated or developed; no references to the book or may only refer to one part of book.
Organization
The book report has a logical and focused structure. Clear focus, logical sequence, and skillful use of transitions. Clear focus with logical sequence and good transitions. Logical sequence of ideas, with clear focus. No focus, some organization or some focus, poor organization. Lacks focus or organization.
Language Use
The response is appropriate for the audience, with effective use of words, sentence structure, and variety. Appropriate language is precise and interesting; meaning is enhanced by varied sentence structure. Language is appropriate for audience and purpose; language is fluent and original, sentence structure varies. Language is appropriate for the audience and purpose; some effective use of sentence structure. Language may contain weaknesses in clarity; some attempt is made to vary sentence...
...Anatolia College 
Mathematics HL investigation

The Fibonacci sequence 
Christos Vassos

Introduction
In this investigation we are going to examine the Fibonacci sequence and investigate some of its aspects by forming conjectures and trying to prove them. Finally, we are going to reach a conclusion about the conjectures we have previously established.
Segment 1: The Fibonacci sequence
The Fibonaccisequence can be defined as the following recursive function:
Fn=un1+ un2
Where F0=0 and F1=1
Using the above we can find the first eight terms of the sequence. An example of calculations is given below:
F2=F1F0F2=1+0=1
We are able to calculate the rest of the terms the same way:
F0  F1  F2  F3  F4  F5  F6  F7 
0  1  1  2  3  5  8  13 
Segment 2: The Golden ratio
In order to define the golden ratio we need to examine the following sketch:
The line above is divided into two segments in such a way that ABAP=APPB
The ratio described above is called the golden ratio.
If we assume that AP=x units and PB=1 units we can derive the following expression:
x+1x=x1
By solving the equation x2x1=0 we find that: x=1+52
Segment 3: Conjecture of φn
In this segment we examine the following geometric sequence:
φ,φ2,φ3…
Since x=1+52 can simplify φ by replacing the value of x to the formula of the golden ratio we discussed...
...C LIT 271 WQ 2013 Assignment #2:Sequence Analysis Length: 8501,000 words (printed in Times New Roman, pt 12, doublespaced; state the word count at the top of the paper). The task: Analyze the sequence assigned to your section (make sure you are writing about the correct sequence!). Make an argument about how formal elements, such as miseenscene, sound, and editing, to convey content: how the formal elements develop characters and the relationships between them, how they organize the plot, or convey themes. The sequences for all the sections can be accessed here:
https://faculty.washington.edu/yomi/protected
Procedure: Choose two to four shots from the assigned sequence (they need not necessarily follow one another). Describe how the miseenscene in each shot resonates and/or contrasts with the other chosen shot(s). Due dates: A first draft is due on Friday, February 22, at 10am in the Catalyst Drop Box. A copy should be brought to quiz section on that same day for peer review. The first draft should include screen grabs of the chosen shots An easy method for screen grabs: (a) On the sequence links page, rightclick on the link to the relevant sequence and choose “save link as.” Save the file to your computer or diskonkey. (b) Download and install the free VLC Media Player (free) at www.videolan.org. (c) Pause on the frame you would like to grab and choose “video” then...
...
This work MAT 126 Week 1 Assignment  Geometric and Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems:
First Problem: question 35 page 230
Second Problem: question 37 page 230
Mathematics  General Mathematics
Week One Written Assignment
Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World .
For each exercise, specify whether it involves an arithmetic sequence or a geometric sequence and use the proper formulas where applicable . Format your math work as shown in the Week One Assignment Guide and be concise in your reasoning. Plan the logic necessary to complete the exercise before you begin writing. For an example of the math required for this assignment, please review the Week One Assignment Guide .
The assignment must include ( a ) all math work required to answer the problems as well as ( b ) introduction and conclusion paragraphs.
Your introduction should include three to five sentences of general information about the topic at hand.
The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems.
Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to...
...to calculate a certain term (number of months starting from January) the two previous terms must be known. These are then added together to give the desired month.
The table below shows the rabbit’s breeding numbers throughout the whole year.
The Mathematical recursive formula that represents this is:
Where: Tn= The desired month (January1, February2, March3, and so on) and where Tn>3
It can be clearly seen from the graph that the pattern/structure is exponential. This is due to the previous numbers being added in succession with the next, resulting in the ‘gap’ between each number to increase.
The trend in which the numbers follow is called a Fibonacci sequence and is often found in nature as well.
Many instances in which the Fibonacci Series is present in nature are that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. However some plants such as the sneezewort plant (as seen left) can be seen demonstrating the Fibonacci pattern in succession. It happens on both the number of stems and number of leaves.
Another appearance of the Fibonacci Series in nature is that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. This includes the pineapple shown to the left. The number of spirals going in each direction is a Fibonacci number. For example, there are 13...
...
Bankers Adda
How to write Essay in SBI PO Exam?
Dear readers, as you know that SBI PO 2014 Paper will also contain a Descriptive Test of 50 marks (1 hour duration), which will consist of English Language Comprehension, Short Précis, Letter Writing & Essay).
So, here we are presenting you "How to write Essay?" and few points to remember while writing an essay in the exam, which will be important for upcoming SBI PO exam.
How to write an essay?
1. Analyze the prompt.
Note exactly what is asked in the question.
Write down the prompt on the rough page.
Underline the key words in the prompt. Look for words like "explain," "identify," "analyze" or "define."
Break down the prompt into components. If you are to "identify" something and then "analyze" it, then write 1 paragraph identifying what's requested and a second paragraph analyzing what you identified.
2. List all of your ideas.
Write short sentence fragments or keywords of all of the facts that you can remember. These should be facts that will support the arguments or statements that you will make in your essay.
3. Write a thesis statement for the entire essay.
This statement should identify the point that you will make in your essay.
Avoid writing statements about yourself. For instance, don't write "I think" or "The point I will make today is..."
Make the thesis statement...