The sum of the first n terms, S n , of a particular arithmetic progression is given by Sn 4n 2 3n Find the first term and the common difference ...

Let the first term of the arithmetic progression be a and the common difference be d ...

The sum of the first n terms, S n , of a particular arithmetic progression is given

Question:

The sum of the first n terms, S_n, of a particular arithmetic progression is given by Sn = 4n² + 3n.
Find the first term and the common difference.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 06:35 AM

See More Questions

Find the first term and the common difference for the arithmetic sequence for which a2 = 40 - 3q and a4 = 10p + q. If p, m, and q form an arithmetic sequence, it can be shown that m = 1 p + q2>2. The...
Find a formula for the sum of the first n terms of the sequence. Prove the validity of your formula. 1, 5, 9, 13, ...
Find a formula for the sum of the first n terms of the sequence. Prove the validity of your formula. 9, 13, 17, 21, . . .
A semicircular plate of radius r, oriented as in the figure, is submerged in fluid of density 68 lb/ft 3 so that its diameter is located at a depth of m feet. Calculate the force on one side of the...
One of the most common deferred tax liabilities occurs because of accelerated depreciation. When is the difference between reported taxes and cash taxes likely to be greatest? When will it be...
An employee of Doughties Foods overstated inventories to make periodic profits higher. Using the basic cost-flow model, explain how overstating inventories could increase profits. If the employee did...
Visit Teslas website (www.tesla.com) and explore the range of products it produces. What do its product groups have in common? Which factors have influenced Teslas creation of its newest products?
Apex Trucking purchased a truck for $100,000 on January 1, 2011. The useful life of the truck was estimated to be either five years or 200,000 miles. Salvage value was estimated at $20,000. Over the...
What does the cost of capital represent? What is the significance of the cost of capital in the financial manager's primary goal of maximizing shareholder wealth? In other words, how does the...
The preliminary 2024 income statement of Alexian Systems, Inc., is presented below: Additional Information: 1. Selling and administrative expense includes $26 million in restructuring costs. 2....
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...
The first three terms of a geometric progression are k + 12 , k and k 9, respectively. a. Find the value of k. b. Find the sum to infinity.
Draw a graph of an equation that contains two x-intercepts; at one the graph crosses the x-axis, and at the other the graph touches the x-axis.
On a dreary morning in May 1995, Paul found himself sitting on the floor of the hallway, crouched against the cold wall, feeling dejected and desperate. The bustling cacophony of the people in nearby...
Two speakers S1 and S2 are at a distance from each other. Point Q is located at y = 2.1 m above loudspeaker S2 while point P is located at x = 4.1 m in front of loudspeaker S1. The two loudspeakers...
Q1 Go to the Office of the Superintendent of Financial Institutions (OSFI) and find data (as of December 31, 2020) for all domestic banks on total liabilities, total deposits, and residual of assets...
Explain your viewpoint/philosophy on the Christian's responsibility to demonstrate wise stewardship of higher education resources. How should a believer handle the institution's finances? As you...
TranscribedText: 4. DQ 5. Create your initial post on the DQ 5 Discussion Board in response to the following: e There are many different opinions about how media, specifically TV and the Internet,...
List six access technologies. Classify each one as home access, enterprise access, or wide-area wireless access.
Determine the optimal use of Applichem's plant capacity using the Solver in Excel.
The gradient of a curve is such that, at the point (x, y), the gradient of the curve is proportional to xy. At the point (3, 4) the gradient of this curve is -5. a. Form and solve a differential...
The points A, B and C are position vectors relative to the origin O, given by a. Find a vector equation for the line L passing through A and B. b. The line through C, perpendicular to L, meets L at...
The vector equation of the line L 1 is given by a. Find the vector equation of the line L2 that is parallel to L1 and which passes through the point A(5, 3, 2). b. Show that A(5, 3, 2) is the foot of...
You are evaluating a new project for the firm you work for, a publicly listed firm. The firm typically finances new projects using the same mix of financing as in its capital structure, but this...
state, "The subscription price during a rights offering is normally r; lower ; lower r; higher er; higher than the rights-on price and
Arnold inc. is considering a proposal to manufacture high end protein bars used as food supplements by body builders. The project requires an upfront investment into equipment of $1.4 million. This...

The sum of the first n terms, S n , of a particular arithmetic progression is given

Question:

Step by Step Answer:

Let the first term of the arithmetic progression be a and the common difference be d ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions