The fourth term of a geometric progression is 48 and the sum to infinity is five times
Question:
The fourth term of a geometric progression is 48 and the sum to infinity is five times the first term.
Find the first term.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
Let the first term be a and the common ratio be r Then we know that The fourth term ...View the full answer
Answered By
Umair Yousuf
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
-
The fourth term of a geometric progression is 48 and the sum to infinity is three times the first term. Find the first term.
-
A geometric progression has first term 10 and its sum to infinity is 15. a. Find the common ratio. b. Find the sum to infinity if the first term is excluded from the progression.
-
The fourth term of a geometric progression is 36 and the eighth term is 576. All the terms are positive. a. Find the common ratio. b. Find the first term. c. Find the sum of the first ten terms.
-
Jarvis Company produces a product that has a selling price of $20.00 and a variable cost of $15.00 per unit. The company's fixed costs are $50,000. What is the break-even point measured in sales...
-
Casher Industries leases a significant portion of its assets, expecting $25 million in rental expense next year. Casher Industries can borrowat 7 percent and the average life of leased assets is...
-
A government contractor had a contract with NASA to build a space shuttle. Under this contract, all costs of development and construction are to be reimbursed and the contractor is to be guaranteed a...
-
What factors enhance the diffusion of a good or service?
-
What if you conducted a PAQ analysis that indicated that the Wonderlic was a valid test for this job? Do you believe that this result establishes the legality of the Wonderlic? Given that the...
-
Jhumpa, Stewart, and Kelly are all one-third partners in the capital and profits of Firewalker general partnership. In addition to their normal share of the partnerships annual income, Jhumpa and...
-
Terry Powell was a property owner in Marshall County, Kentucky. Tosh Farms General Partnership raised swine in barns on land within one mile of Terry Powells residence. Jimmy Tosh was the general...
-
i. Prove the identity ii. Hence solve the equation sin 0 1 1- cos sin 1 tane
-
Find the first three terms, in ascending powers of x, in the expansion of (2 3x) 4 (1 + 2x) 10 .
-
For a Markov process define its infinitesimal operator: \[T(t) f\left(X_{s} ight)=\int f(y) p\left(t, X_{s}, y ight) d y=E\left[f\left(X_{t+s} ight) \mid X_{s} ight]\] Show that this operator is a...
-
Solve X+1U6x-13x+2-4x+5
-
Summarize the selected poster's design format, such as the color, layout, font style, size, space, and the subject's analysis format. Also, analyze how the study started. Such as background and...
-
Income statement Prior year Current year Revenues 782.6 900.0 Cost of sales Selling costs Depreciation (27.0) (31.3) Operating profit 90.4 85.7 Interest Earnings before taxes 85.4 78.2 Taxes (31.1)...
-
View the video at the slide title "Lab: Social Media Post" at time 28:20. Link:...
-
Write a program ranges.py in three parts. (Test after each added part.) This problem is not a graphics program. It is just a regular text program to illustrate your understanding of ranges and loops....
-
Why will two ISPs at the same level of the hierarchy often peer with each other? How does an TXP earn money?
-
Ashlee, Hiroki, Kate, and Albee LLC each own a 25 percent interest in Tally Industries LLC, which generates annual gross receipts of over $10 million. Ashlee, Hiroki, and Kate manage the business,...
-
The half-life of a radioactive isotope is the amount of time it takes for half of the isotope in a sample to decay to its stable form. Carbon-14 is a radioactive isotope that has a half-life of 5700...
-
Maria makes a large dish of curry on Monday, ready for her family to eat on Tuesday. She needs to put the dish of curry in the refrigerator but must let it cool to room temperature, 18C, first. The...
-
The size of a population, P, at time t minutes is to be modelled as a continuous variable such that the rate of increase of P is directly proportional to P. a. Write down a differential equation that...
-
thumbs up if correct A stock paying no dividends is priced at $154. Over the next 3-months you expect the stock torpeither be up 10% or down 10%. The risk-free rate is 1% per annum compounded...
-
Question 17 2 pts Activities between affiliated entities, such as a company and its management, must be disclosed in the financial statements of a corporation as O significant relationships O segment...
-
Marchetti Company, a U.S.-based importer of wines and spirits, placed an order with a French supplier for 1,000 cases of wine at a price of 200 euros per case. The total purchase price is 200,000...
Study smarter with the SolutionInn App