A geometric progression has first term a, common ratio r and sum to n terms, S n
Question:
A geometric progression has first term a, common ratio r and sum to n terms, Sn.
Show that
Transcribed Image Text:
2n 2n S.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
ANSWER The sum of the first n terms of a geometric progression with first term a a...View the full answer
Answered By
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college.
My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts.
I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated.
Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
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 geometric progression has first term a and common ratio r. The sum of the first three terms is 62 and the sum to infinity is 62.5. Find the value of a and the value of r.
-
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...
-
Use Eq. (13) to show that (x, y) = ln r is harmonic. 1 Af = frr + fee + = fr 1 2
-
(a) Nitrogen trifluoride, NF3, is a relatively unreactive, colorless gas. How would you describe the bonding in the NF3 molecule in terms of valence bond theory? Use hybrid orbitals. (b) Silicon...
-
1. A soldering iron is rated at 350 W. If the current in the iron is 4.00 A, what is the resistance of the iron? 2. What power is developed by a device that draws 6.00 A with resistance 12.0 ? 3....
-
Choose an appropriate closed system and draw a bar diagram representing the energy conversions and transfers that occur during each process of Checkpoint 7.9: (a) a ball launching as the compressed...
-
Refer to the Princeton Drycleaners in E6- 21A. Assume that Princeton charges customers $ 8 per garment for dry cleaning. Prepare Princetons projected income statement if 4,300 garments are cleaned in...
-
What piece of hardware connects a peripheral device like a keyboard or mouse to the system bus? 1 point a device driver a device controller a semaphore a network port
-
The Bechtal Tire Company (BTC) is a supplier of automotive tires for U.S. car companies. BTC has hired you to analyze its sales. For this problem, do all the work in Forecast X and be sure to request...
-
Starting with an equilateral triangle, a Koch snowflake pattern can be constructed using the following steps: Step 1: Divide each line segment into three equal segments. Step 2: Draw an equilateral...
-
A circle is divided into twelve sectors. The sizes of the angles of the sectors are in arithmetic progression. The angle of the largest sector is 6.5 times the angle of the smallest sector. Find the...
-
In Exercises 920,evaluate the function at the given values of the independent variables. Simplify the results. f(x, y) = 2x + y2 (a) f(x + x, y) - f(x, y) (b) f(x, y + y) - f(x, y)
-
Software tech inc. is planning to buy a new machine and replacing an old machine. Old machine was purchased 10 years ago and is fully depreciated but it can still be used for the next 5 years....
-
You hold a plastic bottle of water upright in your hand, and carefully poke a small hole in the bottom of the bottle with a nail. Assume viscosity can be neglected. Use g = 9.80 m/s 2 . Part A: The...
-
You are needing to find out how much the installment payment might be on a car valued at $35,000. The interest rate on the 10 year installment is 4.75% per year. You will be required to make your...
-
Hawk Corp. had the following transactions in the current year: Short term capital gain $10,000 Short term capital loss -$2,000 Long term capital gain $4,000 Long term capital loss -$15,000 If Hawk...
-
Submit a paper detailing types of audit reports for both issuers and nonissuers, highlighting the differences between the requirements for the audit reports for issuers and nonissuers. Be sure to...
-
Solve the following systems by any method. (a) 2I1 - I2 + 3I3 + 4I4 = 9 I1 - 2I3 + 7I4 = 11 3I1 - 3I2 + I3 + 5I4 = 8 2I1 + I2 + 4I3 + 4I4 = 10 (b) Z3 + Z4 + Z5 = 0 - Z1 - Z2 + 2Z3 - 3Z4 + Z5 = 0 Z1 +...
-
Continuation of Exercise 4-83. (a) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? (b) What is the probability that there are no major...
-
Briefly discuss some of the pros and cons an advertising manager for a producer of sports equipment might want to think about in deciding whether to advertise on the Internet.
-
Discuss the use of testimonials in advertising. Which of the four AIDA steps might testimo nials accomplish? Are they suitable for all types of products? If not, for which types are they most...
-
Discuss the future of smaller advertising agencies now that many of the largest are merging to form mega-agencies.
-
What is Logistics and its importance in supply chain management?
-
On January 1, Bartholomew Corp., which reports its financial results in accordance with IFRS, issued $10,000,000 of 20-year bonds. The bonds pay a coupon of 5% and were issued when the market rate...
-
What design principles should be used to create an effective product or service?
Study smarter with the SolutionInn App