a. The third and fourth terms of a geometric progression are 1/3 and 2/9 respectively. Find the
Question:
a. The third and fourth terms of a geometric progression are 1/3 and 2/9 respectively. Find the sum to infinity of the progression.
b. A circle is divided into 5 sectors in such a way that the angles of the sectors are in arithmetic progression. Given that the angle of the largest sector is 4 times the angle of the smallest sector, find the angle of the largest sector.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
a Let the first term of the geometric progression be a and the common ratio be r Then we have ar2 13 ...View the full answer
Answered By
Tejaswi Kopparapu
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 first, second and third terms of a geometric progression are the first, fifth and eighth terms respectively of an arithmetic progression. Given that the first term in each progression is 200 and...
-
The first, second and third terms of a geometric progression are the first, fifth and 11 th terms respectively of an arithmetic progression. Given that the first term in each progression n is 48 and...
-
The first, second and third terms of a geometric progression are the first, sixth and ninth terms, respectively, of an arithmetic progression. Given that the first term in each progression is 100 and...
-
A 100-m-long conductor of uniform cross section has a voltage drop of 4 V between its ends. If the density of the current flowing through it is 1.4 x 106 (A/m2), identify the material of the...
-
Many emerging economies have restrictions on capital outflows to protect their growth and stability; for example, they may impose high taxes on repatriated profits by foreign companies. Where...
-
Maim of eight individuals must fold, stuff, sail, and stamp250 'readdressed envelopes. Offer some suggestions for organizing this team. Would your suggestions differ if, instead of 250 envelope% the...
-
Nitrogen gas at \(25^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\), with \(C_{p}=7 \mathrm{cal} / \mathrm{mol}-\mathrm{K}\), is cooled to \(-100^{\circ} \mathrm{C}\) at \(1 \mathrm{~atm}\). Assuming...
-
The English Garden Shop is a retail store that sells garden equipment, furniture, and supplies. Its credit purchases and purchases returns and allowances for July are listed on the next page. The...
-
A rectangular block of a material with a modulus of rigidity G=90 ksi is bonded to two rigid horizontal plates. The lower plate is fixed, while the upper plate is subjected to a horizontal force P....
-
Why has Ultra Cables stock price dropped so much recently despite an increase in its revenues and its earnings per share? Ultra Cable Corporation Statement of Cash Flows Current Year $ 100,000 Cash...
-
a. In an arithmetic progression the sum of the first ten terms is 400 and the sum of the next ten terms is 1000. Find the common difference and the first term. b. A geometric progression has first...
-
The first term of a progression is 4x and the second term is x 2 . i. For the case where the progression is arithmetic with a common difference of 12, find the possible values of x and the...
-
Financial information related to Teflon Company, a proprietorship, for the month ended April 30, 2010, is as follows: Net income for April $ 93,780 Hedi Frys withdrawals during April 10,000 Hedi Fry,...
-
Consider why a hospital is different than a nuclear power plan or a commercial airplane as it relates to achieving the same quality levels as high-reliability organizations. Then, reflect on the...
-
Q1: What is organizational culture? Q2: Why is organizational culture important? Q3: How can an organization develop a strong and positive culture? Q4: Can organizational culture change over time?...
-
Given the following information about a nations economy, answer the questions below. C = 250 + .8 Yd T = 100 I = 275 G = 175 X = 65 M = 70 Use algebra to solve for equilibrium. (You must show ALL of...
-
Ms . Smith hired Tom, a CPA, to prepare her federal income tax return for Year 3 . While gathering information to prepare the return, Tom discovered that Ms . Smith failed to file federal income tax...
-
Currently I am paying $60.00 a month for my service. I would like to upgrade to the $80.00 service package because my new employer offers 20% discount with your company. What would be the cost...
-
Which of these programs would lead to a less than 10,000 units exchanged in the market? Briefly explain.
-
You are a Loan Officer with an Investment Bank. Today you need to set your lending parameters. They are: LTV: 55% 10 Year T-Bill: TBD Rate Markup: 300 Basis Points Term: 30 Years Amortization: 30...
-
Find the gradient of the curve 5e x y 2 + 2e x y = 88 at the point (0.4)
-
The parametric equations of a curve are x = 3(1 + sin 2 t), y = 2 cos 3 t. Find dy/dx in terms of t, simplifying your answer as far as possible.
-
The equation of a curve is 2x + y ln x = 4y . Find the equation of the tangent to the curve at the point with coordinates (1,1/2).
-
Determine whether the equation defines y as a function of x. x +9=7 Choose the correct answer below. The equation defines y as a function of x. The equation does not define y as a function of x.
-
Explainsome virtual machine configuration options ? Explain some optimizations for a Linux virtual machine?
-
Have you ever "spun up" a virtual machine before? If so, what did you use it for? If not, what do you believe the value of virtualization and/or virtual machines are for a help desk specialist?...
Study smarter with the SolutionInn App