Question: An arithmetic series is given by (k + 1) + (2k + 3) + (3k + 5) + + 303 a. Find the number

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 Sn = 2568, find the value of k.

Step by Step Solution

★★★★★

3.43 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a 304 k 2 b ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

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...

Q:

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

Q:

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...

Q:

Math-1062 Test #2 Practice Problems (Test 2 covers 8.1, 8.2, & 11.1 - 11.8) Part I. Free Response Questions 1. Find the length of the arc of the curve for . 2. Determine whether the following...

Q:

UIZ # 6 Problems 1. Calculate the first 10 terms (starting with n=1 ) of the sequence a1=2, a2=2,, for n3, a n=a n1 an2 2. State whether the sequence converges or diverges? If the sequence converges,...

Q:

Lab submissions-m1 121ABK ITI 1121 Ldborary 5(2019) eGel Homework Help with ChegLX + Not secure l www.site.uottawa.ca/~JY/Courses/IT11121/lectures/labs/lab5-2019.html Abstract classes and interfaces...

Q:

section 1; Paper size Letter 1. Fill in the blanks so that the resulting statement is true. A function f is continuous at a when three conditions are satisfied. . f is defined at so that is a real...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

lup ] (d) Show how a generating (or "mother") wavelet (x) can spawn a family of "daughter" wavelets jk(x) by simple shifting and scaling operations, and explain the advantages of representing...

Q:

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

Q:

Examples of objects moving with high Reynolds number include Select all that apply. a paramecium moving in water a diving bird a race car a falling dust particle

Q:

Quick Quiz Windows OSs include the ___ utility, which deletes unneeded files. Defragmentation is the process of removing the empty pockets between files and other information on a hard drive. True...

Q:

Onthe Beams Ltd . , a manufacturer of aviation navigation systems, is negotiating with the Precise Laser Company to purchase or to lease a machine that produces a more precise signal. The machine...

Q:

To know various techniques and notations for specifying requirements

Q:

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...

Q:

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,...

Q:

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...

Q:

PROBLEM 4 (20 Points) Tiger, Inc. Adjusted Tral Balance Cash Accounts receivable Office equipment Accumulated depreciation: 175,000 262,500 50,000 100,000 50,000 125,000 100,000 office equipment...

Q:

Ayayai's Warehouse distributes hardback books to retail stores and extends credit terms of 2/10,n/30 to all of its customers. During the month of June, the following merchandising transactions...

Q:

Given the following data, what is the return on investment (ROI)? Sales $250,000 Net operating income $30,000 Contribution margin $50,000 Average operating assets $300,000 Stockholder's equity...