A geometric progression has eight terms. The first term is 256 and the common ratio is 1/2.
Question:
A geometric progression has eight terms. The first term is 256 and the common ratio is 1/2.
An arithmetic progression has 51 terms and common difference 1/2.
The sum of all the terms in the geometric progression is equal to the sum of all the terms in the arithmetic progression. Find the first term and the last term in the arithmetic progression.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (4 reviews)
Lets first find the sum of all the terms in the geometric progression The formula for the ...View the full answer
Answered By
Krishnavendra Y
I am a self motivated financial professional knowledgeable in; preparation of financial reports, reconciling and managing accounts, maintaining cash flows, budgets, among other financial reports. I possess strong analytical skills with high attention to detail and accuracy. I am able to act quickly and effectively when dealing with challenging situations. I have the ability to form positive relationships with colleagues and I believe that team work is great key to performance. I always deliver quality, detailed, original (0% plagiarism), well-researched and critically analyzed papers.
5.00+
4+ 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
-
A geometric progression has six terms. The first term is 486 and the common ratio is 2/3. An arithmetic progression has 35 and common difference 3/2. The sum of all the terms in the geometric...
-
A geometric progression has first term a, common ratio r and sum to n terms, S n . Show that 2n 2n S.
-
a. A geometric progression has first term a, common ratio r and sum to infinity S. A second geometric progression has first term 3a, common ratio 2r and sum to infinity 4S. Find the value of r. b. An...
-
A transparent rod 30.0 cm long is cut flat at one end and rounded to a hemispherical surface of radius 10.0 cm at the other end. A small object is embedded within the rod along its axis and halfway...
-
Discuss the possible factors underlying differences in price for the same stock on two different markets, such as the spread between the London and New York prices for a share of Shells common equity...
-
Describe the risk-management cycle and discuss each of the main stages.
-
_____6. To see all of the transactions for a selected bank account, do the following: a. From the Banking Find list, link to Account Register, then select the account. b. From the Banking Start a...
-
GoGo Juice is a combination gas station and convenience store located at a busy intersection. Recently a national chain opened a similar store only a block away; consequently sales have decreased for...
-
a - On the dividend record date, Select one: a dividend becomes a current obligation. no entry is required. an entry may be required if it is a stock dividend. Dividends Payable is debited. b - Which...
-
Evaluate this statement: The only time that a change in resource allocation clearly increases social welfare is when the change represents a win-win situation.
-
The coefficient of x 2 in the expansion of (3 + ax) 4 is 216. Find the possible values of the constant a.
-
The first term of a geometric progression is 50 and the second term is 30. Find the fourth term.
-
A subcontractor is responsible for outfitting six satellites that will be used for solar research. Four of the six have been completed in a total of 600 hours. If the crew has a 75 percent learning...
-
You have recently taken over daycare center that was under substandard leadership. Currently, the staff is unmotivated, negative, and often absent from work. You notice that there is minimal...
-
Choose an organization from the industry of your choice to discuss, illustrate, and reflect deliberately on the following: Why is it important to distinguish between "group" and "team "? What kinds...
-
The focus of data governance programs, in some capacity, is enterprise-wide data quality standards and processes. If you were a manager focusing on master data: Would you likely meet enterprise-level...
-
1) Identify and explain each component of the ANOVA model. 2) How is the F ratio obtained? 3) What role does the F ratio play?
-
Make a BCG matrix table and place the following products from Apple: iPhone, iPad, iMac, iPod, Apple TV, Apple Watch, AirPod, and HomePod. Briefly describe why you have placed the products in the...
-
Assume the propagation delay in a broadcast network is 3 s and the frame transmission time is 5 s. Can the collision be detected no matter where it occurs?
-
Find the APR in each of the following cases: NUMBER OF TIMES COMPOUNDED Semiannually Monthly Weekly Infinite EAR APR 10.4% 8.9 11.6 15.4
-
On the most recent exam in your biology class, every student earned an A. The professor claims that he must really be a good teacher for all of the students to have done so well. Given the confounds...
-
What are internal validity and external validity, and why are they so important to researchers?
-
A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week. The student gathers information from a random...
-
Sam owns a 25% in Spade, LLC. In 2021, Spade reports $100,000 or ordinary income. What is Sams qualified business income (QBI) deduction? answer is 5,000 but please show how to get it
-
crane Inc. common chairs currently sell for $30 each. The firms management believes that it's share should really sell for $54 each. If the firm just paid an annual dividend of two dollars per share...
-
Determine the simple interest earned on $10,000 after 10 years if the APR is 15%
Study smarter with the SolutionInn App