The second term of a geometric progression is 9 and the fourth term is 4. Given that

Question:

The second term of a geometric progression is 9 and the fourth term is 4. Given that the common ratio is positive, find:
a. The common ratio and the first term
b. 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

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.
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 6.5 and the sum to infinity is 26. Find the common ratio and the first term.
Patagonia founder and owner Yvon Chouinard argued that meaningful work depends on what one does, in terms of daily tasks, but also on the larger issues that a company stands for" He writes....
An oil company wants to divest its low-growth chemicals division, which has an estimated stand-alone value of around $5 billion and represents around 40 percent of the entire oil companys value. What...
A 0.450-kg hockey puck, moving east with a speed of 5.80 m/s, has a head-on collision with a 0.900-kg puck initially at rest. Assuming a perfectly elastic collision, what will be the speed and...
With reference to the example of the $2^{3}$ design on page ${ }^{* * *}$, express the total sum of squares as the sum of the contributions from each of the seven treatments plus the error sum of...
Myriad Solutions, Inc., issued 10% bonds, dated January 1, with a face amount of $320 million on January 1, 2011 for $283,294,720. The bonds mature in 2021 (10 years). For bonds of similar risk and...
8 A car is driving along at 13 m/s, and the rain is falling at 7 m/s straight down. What angle (in degrees) does the rain make with respect to the horizontal as observed by the driver?
A robot gripper shown in part (a) of Figure P4.17, is to be controlled so that it closes to an angle Î¸ by using a DC motor control system, as shown in part (b). The model of the control...
Find, in ascending powers of x, the first three terms of each of the following expansions. a. (1 x )(2 + x) 7 b. (1+ 2x)(1 3x) 10 c. (1+ +x X 2
A sector of a circle, radius r cm, has a perimeter of 60 cm. a. Show that the area, Acm 2 , of the sector is given by A = 30r r 2 . b. Express 30r r 2 in the form a (r b) 2 , where a and b are...
What are retained earnings?
his business sells products for local artisans using Square POS. Sales transactions debit Cash and credit Vendors Payable. When paying vendors, they debit Vendors Payable and credit Cash. The owner...
If beta_L = 0.8 and beta_H = 2.50 What is the risk-free asset position in the BaB long-short strategy ?
Annual maintenance for Al and upgrade of software which therefore increase the budget. Schedule maintenance of AI is advised as it may be important to build the capacity to help predict asset failure...
Why are angiosperms so diverse (when compared with non-flowering lineages of plants)? How expensive flowers are to produce for the plant (they cost lots of ATP to make); what benefit do they provide...
The regular occupation definition Allows for employment outside the stated occupation while receiving a benefit Will not allow employment outside the stated occupation while receiving a benefit...
What is the difference between economies of scope and economies of scale? Is it possible for a two-product firm to enjoy economies of scope but not economies of scale? Is it possible for a firm to...
When a company has a contract involving multiple performance obligations, how must the company recognize revenue?
Differentiate with respect to x. a. xe x b. x 2 e 3x c. 5xe 2x d. 2xe x e. e 6x /x f. e -2x /x g. e x - 1/e x + 2 h. xe 3x + e 6x /2 i. x 2 e x - x/e x + 2
Find: a. b. c. d. e. f. [ 5e* (2 + ex) dx
Differentiate with respect to x. a. x sin x b. 5x cos 3x c. x 2 tan x d. x cos 3 2x e. 5 / cos 3x f. x / cos x g. tan x / x h. sin x / 2 + cos x i. sin x/ 3x - 1 j. 1/sin 3 2x k. 3x / sin 2x l.
What should the exporter or their freight forwarder do if they do not understand the explanation in the letter of credit regarding the authorization for payment?
How does the TOC approach to scheduling differ from other approaches?
When the sales price of a property is known, the cost of all improvements can be subtracted from it to find the land value, is an example of what site valuation method?

The second term of a geometric progression is 9 and the fourth term is 4. Given that

Question:

Step by Step Answer:

a Let the first term of the geometric progression be a and the ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions