The first three terms of a geometric progression are 2k + 6, k + 12 and k
Question:
The first three terms of a geometric progression are 2k + 6, k + 12 and k respectively. All the terms in the progression are positive.
a. Find value of k.
b. Find the sum to infinity.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a To find the value of k we can use the fact that the first three terms of the pr...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
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
-
The first three terms of a geometric progression are k + 15, k and k 12 respectively, find a. The value of k b. The sum to infinity.
-
The first three terms of a geometric progression are 175, k and 63. Given that all the terms in the progression are positive, find a. The value of k b. The sum to infinity.
-
The first four terms of a geometric progression are 1, 3, 9 and 27. Find the smallest number of terms that will give a sum greater than 2,000,000.
-
Pooling agreements have been outlawed in all states. True/false
-
Write a Lewis formula for each of the following, assuming that the octet rule holds for the atoms. Then obtain the formal charges of the atoms. a. O3 b. CO c. HNO3
-
Present entries to record the following summarized operations related to production for a company using a job order cost system: (a) Materials purchased on account $167,000 (b) Prepaid expenses...
-
A horizontal escalator connecting airport terminals is \(1 \mathrm{~km}\) long. Two kids start from opposite ends and run toward each other at \(3 \mathrm{~m} / \mathrm{s}\) and meet \(600...
-
1. Assume you are Vanderpool. Draft the comparison Pon just requested. 2. Which of the two routing alternatives would you recommend? Why? 3. Assume that the buyer in Saudi Arabia has made other large...
-
The standard interface technology for wireless networks is _ _ _ _ _ _ _ _ _ _ . The hardware component necessary for computers to connect to these networks is a _ _ _ _ _ _ _ _ _ _ .
-
For each of the sequence w = {e1, . . . , elast} below, determine whether they are subsequences of the following data sequence: ({A,B}{C,D}{A,B}{C,D}{A,B}{C,D}) subjected to the following timing...
-
Find the coefficient of x in the expansion (c 3/x) 5 .
-
The second term of a geometric progression is 18 and the fourth term is 1.62. Given that the common ratio is positive, find a. The common ratio and the first term b. The sum to infinity.
-
Identify the common law actions that can be brought for anti-competitive behaviour, and explain why a purely common law approach to anti-competitive behaviour is insufficient
-
Java Web Homework requirements: Create any website using servlet, jsp technologies, as well as advanced frameworks such as spring, spring boot sturts 2. The website must include a homepage, login...
-
Burlington Paper Goods is considering purchasing a new delivery truck. Burlington uses the average rate of return method to evaluate capital asset decisions. If the initial cost of the truck is...
-
Give a brief explanation regarding the statements: A.1 Government Laws and Regulations A.1.1 Industry Regulations of MINISO (Trade Laws) A.1.2 Labor Practices of MINISO (Labor Laws) A.1.3 Other...
-
Design a private 5 G network that can support the automation systems in an industrial setting. Your design should include the following: The type of private 5 G network that you will use. The...
-
Show that the slice z = c of the sphere x + y + z = 1 has the same area as the slice z = c of the cylinder x + y = 1 outside the cone x + y = z.
-
The total factory overhead for Diva-nation Inc. is budgeted for the year at $180,000. Diva-nation manufactures two types of men's pants: jeans and khakis. The jeans and khakis each require 0.10...
-
1. What is the semi-annually compounded interest rate if $200 accumulates to $318.77 in eight years? Answer in percentage with two decimal places. 2. What is the quarterly compounded interest rate if...
-
Describe the two main levels of diversity. Give an example for each.
-
What is the role of stereotypes in an organization?
-
List and describe key biographical characteristics. How are they relevant to OB?
-
A bank's loan department found that 57 home loans processed during April had a mean value of $78,100 and a standard deviation of $7500. An analysis of the loans in May, a total of 66, showed a mean...
-
. How is the formula for the volume of a sphere derived, and what is it?
-
how might distance learning be designed and used to avoid some of the learning and transfer of training problems of the traditional lecture methods?
Study smarter with the SolutionInn App