An arithmetic progression has first term a and common difference d. The sum of the first 100
Question:
An arithmetic progression has first term a and common difference d. The sum of the first 100 terms is 25 times the sum of the first 20 terms.
a. Find d in terms of a.
b. Write down an expression, in terms of a, for the 50th term.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a Let S100 and S20 be the sums of the first 100 te...View the full answer
Answered By
Tejaswi Kopparapu
Through my training and programming, I have developed the ability to provide clear and concise explanations, offer examples and analogies, and adapt my responses to match the individual learning styles and levels of my users. I have access to a vast database of knowledge and resources that I can draw upon to provide comprehensive and accurate information.
Furthermore, I can offer interactive learning experiences such as quizzes, exercises, and simulations to help reinforce concepts and provide hands-on practice.
Overall, while I may not have hands-on experience as a traditional tutor, I am proficient in providing educational assistance and support to individuals seeking academic help.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
An arithmetic progression has first term a and common difference d. Give that the sum of the first 100 terms is 25 times the sum of the first 20 terms. a. Find d in term of a. b. Write down an...
-
An arithmetic progression has first term 2 and common difference 7. a. Write down a formula for the nth term of the progression. Which term of the progression equals 110? b. Write down a formula for...
-
An arithmetic sequence has first term a and common difference d. The sum of the first 20 terms is seven times the sum of the first five terms. a. Find d in terms of a. b. Find the 65th term in terms...
-
In the circuit shown in Fig. 19-69, the 33- resistor dissipates 0.50W. What is the battery voltage? 68 52 33 75
-
ValueCo generates $10 million in after-tax operating profit on $100 million in assets. The company has $20 million in accounts payable, $15 million in product warranty reserves, $5 million in...
-
Three mountain climbers who are roped together in a line are ascending an ice field inclined at 31.0 to the horizontal (Fig. 4-69). The last climber slips, pulling the second climber off his feet....
-
The total number of vehicles crossing a toll booth each day during the month of November were: Making use of the fact that the median is 328 , test at the 0.01 level of significance whether there is...
-
Par Corporation acquired a 90 percent interest in Sag Corporation's outstanding voting common stock on January 1, 2011, for $630,000 cash. The stockholders' equity of Sag on this date consisted of...
-
How can you calculate the period of the oscillation? Important? What approximation is need? What kind of equation do you need to solve? T = 2 s = so sin(wt + Qo) g How do experimental errors...
-
A company specializes in establishing local, privately run leisure centers throughout the country. Typically, the company will undertake considerable demographic analysis and assess the potential for...
-
a. Write down the expansion of (x + y) 5 . b. Without using a calculator and using your result from part a, find the value of correct to the nearest hundred. (101), 4
-
A company makes a donation to charity each year. The value of the donation increases exponentially by 10% each year. The value of the donation in 2010 was $10 000. a. Find the value of the donation...
-
A manufacturer of houses has 1 floor plan but achieves variety by having 3 different roofs, 4 different ways of attaching the garage, and 3 different types of entrances. Find the number of different...
-
Jim Logan, owner of the Sports Exports Company, will be receiving about 10,000 British pounds about one month from now as payment for exports produced and sent by his rm. Jim is concerned about his...
-
The potential energy U of two atoms, a distance r apart, is U= A +m=2,n = 10 Given that the atoms form a stable molecule at a separation of 0.3 nm with an energy of -4 ev, calculate A and B. Also...
-
The truck has an salvage value ofsz,400, andis epected to be diven 110.000 maesover as estimated useful Be of s years. Actual miles driven were 15,500 in 2017 and 13,800 in 2018 v (al Your answer is...
-
Tipton Enterprises (Tipton) is a commercial industry supply company and is based in Walla Walla, WA and insures its primary warehouse under a Building and Personal Property Coverage Form (BPP) with a...
-
Determine the average information content, I (in bits) of a hypothetical language of M alphabets assuming each alphabet is equally-likely to occur. Pi (Use Shannon's information formula: I = -Ei Pix...
-
When a firm uses K units of capital and L units of labor, it can produce Q units of output with the production function Q = L + K . Each unit of capital costs 2, and each unit of labor costs 1. a)...
-
Archangel Corporation prepared the following variance report. Instructions Fill in the appropriate amounts or letters for the question marks in the report. ARCHANGEL CORPORATION Variance...
-
a. Express in the form b. The variables x and t satisfy the differential equation It is given that t = 0 when x = 0. i. Solve this differential equation and obtain an expression for x in terms of t....
-
The variables w and t satisfy the differential equation Given that when t = 0 w = 0, show that the solution to the differential equation can be written in the form dw dt 0.001(100-w).
-
a. Find the parametric equations of the line L through the points A(0, 4, 2) and B(1, 1, 6). b. Hence find the coordinates of the point where the line L crosses the Oxy plane.
-
How should a sale and repurchase agreement be accounting for if the intent is to obtain funding for equipment?
-
Company C has engaged in a new ad campaign. The company's fixed costs and contribution margin stay the same. If the company has a high degree of operating leverage, what can a small increase in...
-
discuss the detail about process of nitrogen fixation using the rhizobium bacteria that maintaining the balance of environment.
Study smarter with the SolutionInn App