Suppose that a series o an has positive terms and its partial sums s n satisfy the
Question:
Suppose that a series o an has positive terms and its partial sums sn satisfy the inequality sn < 1000 for all n. Explain why ∑an must be convergent.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
The partial sums s form an increasing sequence since sSn1 an 0 for all n Also the sequence s ...View the full answer
Answered By
Ali Khawaja
my expertise are as follows: financial accounting : - journal entries - financial statements including balance sheet, profit & loss account, cash flow statement & statement of changes in equity -consolidated statement of financial position. -ratio analysis -depreciation methods -accounting concepts -understanding and application of all international financial reporting standards (ifrs) -international accounting standards (ias) -etc business analysis : -business strategy -strategic choices -business processes -e-business -e-marketing -project management -finance -hrm financial management : -project appraisal -capital budgeting -net present value (npv) -internal rate of return (irr) -net present value(npv) -payback period -strategic position -strategic choices -information technology -project management -finance -human resource management auditing: -internal audit -external audit -substantive procedures -analytic procedures -designing and assessment of internal controls -developing the flow charts & data flow diagrams -audit reports -engagement letter -materiality economics: -micro -macro -game theory -econometric -mathematical application in economics -empirical macroeconomics -international trade -international political economy -monetary theory and policy -public economics ,business law, and all regarding commerce
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Suppose that a series an has positive terms and its partial sums Sn satisfy the inequality Sn 1000 for all n. Explain why an must be convergent.
-
Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? (b) If an < bn for all n, what can you say about an? Why?
-
Suppose an and ba are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? (b) If an < bn for all n, what can you say about an?...
-
In the dynamic and expanding urban environment of "Slothsberg", a new highway ("Snailpace Highway") is to be constructed over the existing "Dillydally Highway". The following conditions apply to the...
-
Describe the steps that occur during an inflammatory response?
-
Grier Food in Lexington, Kentucky, manufactures and markets snack foods. Deela Riley manages the company's fleet of 180 delivery trucks. Riley has been charged with "reengineering" the...
-
The Buffalo Insurance Agency received the following notes during 2010: Requirements 1. Identifying each note by number, compute interest using a 360-day year, and determine the due date and maturity...
-
Use Worksheet 5.3. Jennie and Caleb McDonald need to calculate the amount that they can afford to spend on their first home. They have a combined annual income of $47,500 and have $27,000 available...
-
The adjusted trial balance of Personal Financial Planners appears below. Using the information from the adjusted trial balance, you are to prepare for the month ending December 3 1 , 2 0 2 0 : 1 . an...
-
The coefficient of lift of a wing can be calculated using theequation: where: L = the lift force produced by the wing = 5.8 ? 0.1 N ? = the density of air = 1.2 ? 0.06 kg/m3 v = the velocity of the...
-
If o an and a n are both divergent, is (a n + b n ) necessarily divergent?
-
The Fibonacci sequence was defined in Section 11.1 by the equations Show that each of the following statements is true. (a) (b) (c) fi = 1, f = 1, fa = fa-1 + fn-2 %3D 1 fa-1 fn+1 fa-1 fa fn fa+1
-
Phosphorus can be prepared from calcium phosphate by the following reaction: 2Ca 3 (PO 4 ) 2(s) + 6SiO 2 (s) + 10C(s) 6CaSiO 3 (s) + P 4 (s) + 10CO(g) Phosphorite is a mineral that contains Ca 3 (PO...
-
What is the terminal year after-tax nonoperating cash flow at the end of year five? A. \($108\),000. B. \($132\),000. C. \($180\),000. McConachie Company is considering the purchase of a new 400-ton...
-
On the basis of the Wall Street analyst comments about AMCs corporate governance system, which of the following would be most effective for AMC to attract investors interest? A. Implement a corporate...
-
Which of the following best describes the corporate governance responsibilities of members of the board of directors? A. Establish long-term strategic objectives for the company. B. Ensure that at...
-
What advantage accrues to businesses that qualify for tax-exempt contributions?
-
Are the statements identified as Concept 3 and Concept 4 correct? A. No for Concepts 3 and 4. B. No for Concept 3, but yes for Concept 4. C. Yes for Concept 3, but no for Concept 4. Linda Pyle is...
-
The National Football League (NFL) is an association of 28 corporations (the football teams). They had dealt with various companies to make NFL-branded clothing and hats but decided to give an...
-
Which of the following statements is false? a. Capital leases are not commonly reported in a Capital Projects Fund. b. A governmental entity may report a Capital Project Fund in one year but not the...
-
Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the following functions. e* h(x) ( + 1) 3
-
Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the following functions. p(x) = sec (x/2), for |x| < 2
-
Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the following functions. g() = tan /10
-
9 1. Compute the indefinite integral. +1 (3+ 4+4) dr.
-
Sarah Jackson Antiques issued its 11%, 10-year bonds payable at a price of $338,220 (face value is $400,000). The company uses the straight-line amortization method for the bond discount or premium....
-
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 6 hours, you now have 6 gallons left. If x is the number of hours you have been driving, then y is the number of...
Study smarter with the SolutionInn App