The first three terms of a geometric progression are 3k + 14, k + 14 and k,

Question:

The first three terms of a geometric progression are 3k + 14, k + 14 and k, respectively.
All the terms in the progression are positive.

a. Find the value of k.

b. Find the sum to infinity.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 06:35 AM

See More 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 k + 12 , k and k 9, respectively. a. Find the value of k. b. Find the sum to infinity.
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.
Beginning from rest, an object of mass 200 kg slides down a 10-m-long ramp, the ramp is inclined at an angle of 40 from the horizontal. If air resistance and friction between the object and the ramp...
Provide examples of how the best owner of a business has changed over time. Give reasons for these changes.
What is abc? The subject of abc has a very interesting past. Project managers have used them for a long time as they assess risks at an early stage in a large project and enter the details in a...
From the following data, calculate (a) BEP (in units). (b) If sales are 10% and 15% above the breakeven volume, determine the net profit. Selling price per unit = Rs 10 Direct material per unit = Rs...
The Sun Theater, owned by Ha Ji-Won, will begin operations in March. The Sun will be unique in that it will show only triple features of sequential theme movies. As of March 1, the ledger of Sun...
Note I only need answers from part (I to Question: Asahi Glass Inc. produces and distributes different kinds of glasses. The information below about Asahis operations has been assembled to assist...
From the following information you are required to construct: (i) a break-even chart, showing the break-even point and the margin of safety; (ii) a chart displaying the contribution level and the...
Find the term independent of x in the expansion ofdddf 3x 23
a. Expand (1 + x) 3 . b. Use your answer to part a to express: i. (1 + 5 ) 3 in the form a + b5 ii. (1 5 ) 3 in the form c + d5. c. Use your answers to part b to simplify (1 + 5) 3 + (1 5) 3 .
1. What are the main organizational causes of the frustration that Ayishia Coles feels? 2. If you were Marshall Pinkard, how would you address both Ayishias request for clarification about her...
5. Consider the classes below and determine what is printed out by the client code. public class V { public void one(){ System.out.print("it"); } public void two(){ System.out.print("go"); } } public...
Consider the following closed economy short-run IS-LM model with income taxation. The economy is described by equations (1) through (6): (1) C = 200 + 0.8(Y -T); (2) T = 800+0.25Y;(3) G = 500; (4) 1...
(30 pts) A binary search tree is given, write a method to delete a node from the tree. Assume the successor and predecessor methods are provided, partial code is provided below. Finish the reset of...
Reminder: Formatting is always important in your code (comments, indentation, variable names, etc.) And please always start your Java code file with a multi-line comment listing the name of the...
An element is the majority of a size-n array A [1...n] if it occurs more than 1 times in the array. Design a O(log n) time algorithm to find the majority of A in the EREW PRAM model using n...
What is the purpose of NAV in CSMA/CA?
Use this circle graph to answer following Exercises. 1. What fraction of areas maintained by the National Park Service are designated as National Recreation Areas? 2. What fraction of areas...
What special ethical considerations must be taken into account when conducting research with children?
Identify the type of measure used in each of the following situations: a. As you leave a restaurant, you are asked to answer a few questions regarding what you thought about the service you received....
Which of the following correlation coefficients represents the highest (best) reliability score? a. + .10 b. - .95 c. + .83 d. 0.00
Docs Auto Body has budgeted the costs of the following repair time and parts activities for 2009: Doc's budgets 6,000 hours of repair time in 2009. A profit margin of $7 per labour hour will be added...
QUESTION 28 In a perpetual inventory system, the cost of inventory sold is: Debited to accounts receivable. Debited to cost of goods sold. O Not recorded at the time goods are sold. O Credited to...
The following financial statements and additional information are reported. IKIBAN INC. Comparative Balance Sheets June 30, 2019 and 2018 2019 2018 $105,709 69,500 66,800 4,700 246,700 127,eee...

The first three terms of a geometric progression are 3k + 14, k + 14 and k,

Question:

Step by Step Answer:

a Find the value of k Lets use the formula for the nth term of a geometric progression an a1 rn1 whe...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions