The sum of the first two terms of an arithmetic series is 47. The thirtieth term of

Question:

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 terms of the series.

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...
The sum of the first three terms of an arithmetic series is 12. If the 20th term is 32, find the first term and the common difference.
The sum of the first three terms of an arithmetic series is 12. If the 20th term is 32, find the first term and the common difference.
Use the trapezium rule, with interval-halving and extrapolation, to evaluate 0 log(cosh x) dx to 4dp
The April transactions of Wiset Company are described in Problem 7- 1A. In Problem 7- 1, Wiset Company completes these transactions during April of the current year (the terms of all its credit sales...
What does the auditors report signify about the financial statements?
Describe the major functions of sales management.
The steel pipe has an inner diameter of 2.75 in. and an outer diameter of 3 in. If it is fixed at C and subjected to the horizontal 60-lb force acting on the handle of the pipe wrench at its end,...
Tun Abdul Razak Complex building as shown in Figure 1 had almost 40% of the building envelope consist of windows. Thus, the building management is planning to conduct window renovation works to...
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....
A geometric sequence has first term 4 and fourth term 108. Find the smallest value of k for which the kth term in this sequence exceeds 500 000.
In Exercises 1 through 6, an initial population P 0 is given along with a renewal rate R, and a survival function S(t). In each case, use the given information to find the population at the end of...
What's your favourite way to promote and build interpersonalwellness? How do you nurture your relationships? How do you build friendships? How do you show your loved ones that you care? Share your...
What is the best way to summary this formation? IMC Communication Objectives Increase from 0% to 75% of Millennials in the Dallas-Fort Worth area, ages 22 - 34, with a four-year college degree,...
Branding is very important to marketing, that is while most businesses focus on brands that attract customer's interest. Store brand is unique to a particular store compared to national brand . A...
Do you think that your score accurately reflects your global mindset? Why or why not? What, if anything, is missing from the assessment? How do you think that having a higher global mindset will help...
Healthcare is an ever-changing industry that requires healthcare organizations to align with those changes or risk being left behind. With the advances being made in technology, every corner seems to...
The Assembly Division's absorption cost of a component is $0, includes $60 of applied fixed overhead costs. The transfer price has been set at $561, which is the Assembly Division's absorption cost...
After Theorem 1.5 we note that multiplying a row by 0 is not allowed because that could change a solution set. Give an example of a system with solution set S0 where after multiplying a row by 0 the...
What is the exact probability of 51 deaths occurring on one day if the cardiac death rate in the previous week continued to hold on the day of the earthquake? Cardiovascular Disease An article was...
Is the occurrence of 51 deaths unusual? Cardiovascular Disease An article was published [13] concerning the incidence of cardiac death attributable to the earthquake in Los Angeles County on January...
What is the maximum number of cardiac deaths that could have occurred on the day of the earthquake to be consistent with the rate of cardiac deaths in the past week? Cardiovascular Disease An article...
Ted and his partners have contracted to purchase the franchise nights worth 561 000 to open and operate a specialty pizza restaurant called Popper with a renewable agrement, the partners have agreed...
Your answer is partially correct. Martin Company's chief financial officer feels that it is important to have data for the entire quarter especially since their financial forecasts indicate some...
Kellog Corporation is considering a capital budgeting project that would have a useful life of 4 years and would love testing 5156.000 in equipment that would have zeto salvage value at the end of...

The sum of the first two terms of an arithmetic series is 47. The thirtieth term of

Question:

Step by Step Answer:

Lets solve this step by step a We know that the sum of the first two terms of an arithmetic series i...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions