The sum of the first nine terms of a geometric sequence is 684 and the common ratio

Question:

The sum of the first nine terms of a geometric sequence is 684 and the common ratio is −2.
Find the 1st and the 8th terms.

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

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 10:36 AM

See More Questions

Esther, chair of the Full of Hope Center Committee, and the Committee's secretary, Ruth, talked almost daily about the operations of the Full of Hope Center. "At least the children seem happy and...
The sum of the first three terms of a geometric sequence is equal to 42. The sum of the squares of the same terms is equal to 1092. Find the three terms of the sequence.
Let X and Y be independent random variables. Given that the variance of X is 3, and the variance of Y is 3, find the variance of the random variable Z=5X+2Y+93.
Use Lagrange multipliers to find the maximum area of a rectangle inscribed in the ellipse (Figure 15): (-x,y) (x, y) 2 a2 b2 + J2 = 1 (x, y) (x, y) X
Identify which of the following sets of items are necessary components of the master budget. 1. Operating budgets, historical income statement, and budgeted balance sheet. 2. Prior sales reports,...
Explain lateral communication in practice.
The U.S. Department of Defense has a long history of sponsoring projects that have questionable usefulness. If you were assigned as a member of a project review team for a defense project, what...
The Piper Cherokee (a light, single-engine general aviation aircraft) has a wing area of 170 ft 2 and a wing span of 32 ft. Its maximum gross weight is 24501b. The wing uses an NACA 65-415 airfoil,...
Walsh Company manufactures and sells one product. The following information pertains to each of the company's first two years of operations: Variable costs per unit: Manufacturing: Direct materials...
A pipeline carrying gasoline ( $\mathrm{SG}=0.72, \mu=0.7 \mathrm{cP}$ ) is 5 miles long and is made of 6 in. $\mathrm{Sch} .40$ commercial steel pipe. The line contains $2490^{\circ}$ elbows, 2 open...
The 3rd and 4th terms of a geometric progression are 5 and 20, respectively. Find the 1st term, the common ratio, r, and the 9th term.
A geometric sequence is 1 2x + 4x 8x + ... Find an expression for the nth term.
Balance sheet. The following are account balances as of September 30, 20X1, for Stone Hospital. Prepare a balance sheet at September 30, 20X1. (Hint: net assets will also need to be calculated.)...
1.A woman eats 65g of protein per day. She weighs 156 lbs. How much protein is she getting per kg of body weight? Explain briefly both question 2.152 lbs = ________________kg. [2.2 lbs = 1 kg] explain
The concrete slab shown in Figure is 7m x 5m. The slab is not supported along one of the 7m long edges (free edge). The other three edges are supported and continuous over the supports, and therefore...
1. If possible, find 4-B -[{3}][{3}] A=
Georgi owns 50% of Forbes, Inc., an S corporation. At the beginning of the current tax year, Georgi had zero basis and an unused net business loss carryover of $10,000. During the tax year, she...
luation, of Fundamental Managerial Accounting Concepts. Use Excelshowing all work and formulasto complete the following: Prepare a flexible budget. Compute the sales volume variance and the...
Find the 3-sigmaUCL and LCL for the mean and range charts. Plot the data. Does the process look to be in statistical control.Why /why not?
Design and describe an application-level protocol to be used between an automatic teller machine and a bank's centralized computer. Your protocol should allow a user 's card and password to be...
What is your best estimate of the variance of HDL cholesterol within a treatment group? Cardiovascular Disease A study was conducted to assess the effect of atorvastatin with or without an antibody...
What is the test statistic to perform the test in Problem 12.56 based on the data in Table 12.40? Cardiovascular Disease A study was conducted to assess the effect of atorvastatin with or without an...
What is the two-sided p-value associated with the test statistic in Problem 12.59? Cardiovascular Disease A study was conducted to assess the effect of atorvastatin with or without an antibody to...
Each week you must submit an annotated bibliography. Entries of current events relating to the economic concepts and the impact on the company or the industry of your company. You must use acceptable...
Fluffy Toys Ltd produces stuffed toys and provided you with the following information for the month ended August 2020 Opening WIP Units 5,393 units Units Started and Completed 24,731 units Closing...
Part A Equipment 1,035,328 is incorrect Installation 44,672 is incorrect Anything boxed in red is incorrect sents 043/1 Question 9 View Policies Show Attempt History Current Attempt in Progress...

The sum of the first nine terms of a geometric sequence is 684 and the common ratio

Question:

Step by Step Answer:

Lets denote the first term of the geometric sequence by a Since the ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions