The second term of a geometric progression is 24 and the third term is 12(x + 1).
Question:
The second term of a geometric progression is 24 and the third term is 12(x + 1).
a. Find, in terms of x, the first term of the progression.
b. Given that the sum of the first three terms is 76, find the possible values of x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
We are given The second term of a geometric progression is 24 and th...View the full answer
Answered By
Gloria Joseph
Hi,
I am a tutor in Mathematics subject. I love learning and teaching too. I understand that each student is unique and hence I need to change myself - while communicating with each one of the students - so as to make the activity of learning a play thing, once and then for ever!
I believe in activity-based learning, with the help of tools/games/students participating in events- especially outdoor ones. I also believe in continuous learning and teaching to keep myself up to date!
Cheers!!
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 second term of a geometric progression is 6.5 and the sum to infinity is 26. Find the common ratio and the first term.
-
The second term of a geometric progression is 12 and the fourth term is 27. Given that all the terms are positive, find the common ratio and the first term.
-
The second term of a geometric progression is 4.5 and the sum to infinity is 18. Find the common ratio and the first term.
-
John works in a factory as a Quality Expert and is responsible for doing quality product testing before the finished products are sent to the customers. John takes a sample of 10 from a batch of 1000...
-
Why does a gap between a companys intrinsic value and its market value raise issues for the companys executives?
-
A 66.5-kg hiker starts at an elevation of 1270 m and climbs to the top of a peak 2660 m high. (a) What is the hiker's change in potential energy? (b) What is the minimum work required of the hiker?...
-
A company that processes health claims maintains three centers. Software was installed so they could monitor non-business internet usage by their employees. Initially, six employees were randomly...
-
The Stryker Baseball Bat Company manufactures wooden and aluminum baseball bats at its plant in New England. Wooden bats produced for the mass market are turned on a lathe, where a piece of wood is...
-
Refer to the original data. Assume that the company sold 42,000 units last year. The sales manager is convinced that a 2% reduction in the selling price, combined with a $152,000 increase in...
-
TN Communications provides cellular telephone services. The company is planning to expand into the Cincinnati area and is trying to determine the best location for its trans- mission tower. The tower...
-
The first term of an arithmetic progression is 1.75 and the second term is 1.5. The sum of the first n terms is n. Find the value of n.
-
Robert buys a car for $8000 in total (including interest). He pays for the car by making monthly payments that are in arithmetic progression. The first payment that he makes is $200 and the debt is...
-
What is the difference between substitutes and complements? Indicate two goods that are substitutes for each other. Indicate two goods that are complements.
-
On February 1, 2016, Arrow Construction Company entered into a three-year construction contract to build a bridge for a price of $8,025,000. During 2016, costs of $2,010,000 were incurred, with...
-
A manufacturing company has a standard costing system based on machine hours (MHs) as the measure of activity. Data from the company's flexible budget for manufacturing overhead are given below:...
-
Moruzzi Corporation is a single-product company that expects the following operating results for next year: Sales.......................................................... $320,000 Contribution...
-
Murray Company reports net income of $855,500 for the year. It has no preferred stock, and its weighted-average common shares outstanding is 290,000 shares. Compute its basic earnings per share....
-
How will AI banking assistants get information about new financial products and services in the future?
-
The following incomplete table shows a firm's various costs of producing up to 6 units of output. Fill in as much of the table as possible. If you cannot determine the number in a box, explain why it...
-
State whether each of the following will increase or decrease the power of a one-way between-subjects ANOVA. (a) The effect size increases. (b) Mean square error decreases. (c) Mean square between...
-
Express 4x 2 - 5x + 3/(x+ 2)(2x -1) in partial fractions.
-
The first 3 terms in the expansion of (1 + ax) n are 1 24x + 384x 2 . a. Find the value of a and the value of n. b. Hence find the term in x 3 .
-
when is (3 - 2x) expanded the coefficient of x 2 is 15. Find the two possible values of a.
-
Explain the impact on consumers, producers and society if the government decides to introduce a price ceiling. Explain the impact on consumers and products and society if the government decides to...
-
Robert and Bobby each own 5 0 % of DM Corporation, a calendar year taxpayer. Distributions from DM are $ 3 7 5 , 0 0 0 to Robert on April 1 and $ 1 2 5 , 0 0 0 to Bobby on May 1 . DM ' s current E &...
-
Last month when Holiday Creations, Incorporated, sold 4 3 , 0 0 0 units, total sales were $ 1 7 2 , 0 0 0 , total variable expenses were $ 1 3 9 , 3 2 0 , and fixed expenses were $ 3 5 , 3 0 0 ....
Study smarter with the SolutionInn App