An arithmetic series is given by (k + 1) + (2k + 3) + (3k + 5)

Question:

An arithmetic series is given by (k + 1) + (2k + 3) + (3k + 5) + … + 303

a. Find the number of terms in the series in terms of k.

b. Show that the sum of the series is given by 152k + 46208/k + 2.

c. Given that S_n = 2568, find the value of k.

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 08, 2023 07:58 AM

See More Questions

The fourth term of an arithmetic series is 3k, where k is a constant, and the sum of the first six terms of the series is 7k + 9. a. Show that the first term of the series is 9 8k. b. Find an...
For each series: i. Find the number of terms in the series ii. Write the series using sigma notation. a 7+13 + 19 +...+ 157 b 1 3 + 2 15 + 4 75 + + 64 46875 c 8-1-10-19... 127
1. Insert a module and create a subroutine named Receipt(). Excel 2. Place a button with the name "Generate Receipt" that would link to this subroutine when clicked. Do the following parts from 3 to...
Give the decoding key for the encoding keys in Problems 2536. Minus 4, divide by 2.
Church Company completes these transactions and events during March of the current year (terms for all its credit sales are 2/10, n/30). Mar. 1 Purchased $43,600 of merchandise from Van Industries,...
When does a bond sell at a discount, based on coupon rate and current yield? A premium?
Explain the stages in the personal selling process.
Leo V. Mysels was the president of Florida Fashions of Interior Design, Inc. (Florida Fashions). Florida Fashions, which was a Pennsylvania corporation, had never registered to do business in the...
another question option is direct labor:fringe benefits Required information (The following information applies to the questions displayed below.) The following cost data for the year just ended...
An arithmetic sequence has first term k 2 and common difference k, where k > 0. The fifth term of the sequence is 41. Find the value of k, giving your answer in the form p + q 5, where p and q are...
The sum of the first two terms of an arithmetic series is 47. The thirtieth term of this series is 62. Find: a. The first term of the series and the common difference. b. The sum of the first 60...
In Exercises use the Intermediate Value Theorem and Rolles Theorem to prove that the equation has exactly one real solution. 2x + 7x1 = 0
Begin by locating a scholarly article regarding the effects of increases on minimum wages and discuss its findings. Does a minimum wage increase lead to reductions in employment, or is the overall...
Pick an organization (or you can use an example that has professional relevance), and use the DAC framework to accomplish the following objectives. Provide background and a problem statement of the...
Woodruff Company is currently producing a snowmobile that uses five specialized parts. Engineering has proposed replacing these specialized parts with commodity parts, which will cost less and can be...
What was Newell's organizational culture like before acquiring Rubbermaid? What was the quadrant? Is the perspective short or long term, inside or outside focused, interested in people, process, or...
(7.47 of Koretsky 2nd edition) A binary mixture of species 1 and 2 can be described by the following equation of state: P = a 0 VoT The pure species coefficients are given by: amix y1a1a2Y2 with the...
Reliable Cleaning services was started a number of years ago by Pick Elber to provide cleaning services to both large and small businesses in his home city. Over the years, as local businesses...
For liquid water the isothermal compressibility is given by; where r and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from I to 500 bar at 60(C. how...
What is the probability that a 30-year-old IDDM male patient will go blind over the next 10 years? Ophthalmology, Diabetes A study [12] of incidence rates of blindness among insulindependent...
After how many years of follow-up would we expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females, if the incidence rate remains constant over time? Ophthalmology,...
What does cumulative incidence mean, in words, in the context of this problem? Ophthalmology, Diabetes A study [12] of incidence rates of blindness among insulindependent diabetics reported that the...
Fig 1. Rolling a 4 on a D4 A four sided die (D4), shaped like a pyramid (or tetrahedron), has 4 flat surfaces opposite four corner points. A number (1, 2, 3, or 4) appears close to the edge of each...
I just need help with question #4 please! Thank you! Windsor Manufacturing uses MRP to schedule its production. Below is the Bill of Material (BOM) for Product A. The quantity needed of the part...
(25) Suppose that we have an economy consisting of two farmers, Cornelius and Wheaton, who unsurprisingly farm corn c and wheat w, respectively. Assume that both farmers produce their crop of choice...

An arithmetic series is given by (k + 1) + (2k + 3) + (3k + 5)

Question:

Step by Step Answer:

a 304 k 2 b ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions