Let Sn be the sum of the first n terms of an arithmetic sequence, whose first three terms are u1, u2 and u3. It is known that S1 = 7, and S2 = 18. (a) (b) (c) Write down u1. Calculate the common difference of the sequence. Calculate u4. (Total 6 marks)

1

2.

A theatre has 20 rows of seats. There are 15 seats in the first row, 17 seats in the second row, and each successive row of seats has two more seats in it than the previous row. (a) (b) Calculate the number of seats in the 20th row. Calculate the total number of seats. (Total 6 marks)

2

3.

Gwendolyn added the multiples of 3, from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s. Calculate s. (Total 6 marks)

3

*4.

Find the term containing x10 in the expansion of (5 + 2x2)7. (Total 6 marks)

4

*5.

Use the binomial theorem to complete this expansion. (3x +2y)4 = 81x4 + 216x3 y +... (Total 4 marks)

5

6.

(a) (b)

Given that log3x – log3(x – 5) = log3A, express A in terms of x. Hence or otherwise, solve the equation log3x – log3(x – 5) = 1. (Total 6 marks)

6

7.

Find the exact solution of the equation 92x = 27(1–x).
(Total 6 marks)

7

*8.

If loga 2 = x and loga 5 = y, find in terms of x and y, expressions for (a) (b) log2 5; loga 20. (Total 4 marks)

...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 can be defined...

...Access log sampler Step-by-step
This is a short tutorial on Jmeter's access log sampler. The purpose of the access log sampler
is to provide an easy way to simulate production traffic. There are several benefits to using
access logs.
1. rather than guess what users are doing, the test plan is using real traffic data
2. as the traffic pattern changes, the access log provides a record of individual changes...

...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, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 and so on....

...Preparation for work- learning logs
Contents page*
Introduction
Within these logs I will righting about 2 skills I have weakness in and one skill I am strong and confident in. I will be righting about my experiences and relating them to theory I have researched using the Organisational Behaviour 4th edition book. I will reflect and analyse the skill, then discuss an action plan for the future and how I can develop the specific skill I talk about within the...

...Eastman Chemical Company
From Wikipedia, the free encyclopedia
Eastman Chemical Company
Eastman Chemical Company logo.svg
Type Public
Traded as NYSE: EMN
S&P 500 Component
Industry Manufacturing
Founded 1920
Founder(s) George Eastman
Headquarters Kingsport, Tennessee, U.S.
Area served Worldwide
Key people James P. Rogers
(Chairman and CEO)
Products Chemicals
Fibers
Plastics
Revenue Increase US$ 9.1 billion (2012)[1]
Operating income Increase US$ 1.021 billion (2011)[dated...

...
James P. VanDemark
Psyc4310- Tests and Measurements (36357)
Dr. Trina Gordon Hall
April 19, 2014
Name of Test: The Myers-Briggs Type Indicator®
The Name of the Test: Include also the date it was originally developed as well as the date of the current version. This should be done in a narrative form under the subheading
The test critique is based on the Myers-Briggs Type Indicator. This was a mother and daughter joint effort of...

...latest during the last meeting of the year for the next year but one. The central office notifies the director of the institute in question about the pending evaluations and the sequence of the evaluation process. It also sets the inspection appointment in coordination with the institute and chairman of the commission. The sequence of the evaluation must be scheduled in such a way that the results are available two months prior to the date on which the Board of...

...
eventual NBA champion Spurs, 4 games to 1.
Atlanta Hawks (2005–2012)[edit]
Johnson with the Nets
In the summer of 2005, Johnson became a highly touted restricted free agent and expressed a desire to leave the Suns to assume a larger role on the Atlanta Hawks. Johnson grew upset with Phoenix's initial offers to re-sign him feeling they were well below his market value. This rift eventually led to Johnson requesting the Suns not match Atlanta's $70 million offer. On August...