Suppose that {(ak) and are sequences of real numbers which satisfy Prove that the infinite series k=1
Question:
Prove that the infinite series k=1 akbk converges absolutely.
Transcribed Image Text:
ak
ak
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
By the CauchySchwarz Inequality for all n N Notice that ak 2 ...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 Numerical Analysis questions
-
Let S denote the set of all infinite sequences of real numbers with scalar multiplication and addition defined by {an} = {an} {an} + {bn} = {an + bn} Show that 5 is a vector space.
-
Let [n] and [bn] be sequences of real numbers. Show that (nbn) = n+1(bn) + bn(an).
-
a) Suppose that {ak} is a decreasing sequence of real numbers. Prove that if k=1 ak converges, then kak 0 as k . b) Let sn = nk=1 (- l)k+l/k for n N. Prove that S2n is strictly increasing, S2n+1...
-
The standard cost card for Balsam indicates each unit of product should take 1.5 hours of direct labor at a cost of $10 per hour. During the current period, Balsam produced 3,000 units, used 5,000...
-
You will receive $6,800 three years from now. The discount rate is 10 percent. a. What is the value of your investment two years from now? Multiply $6,800 .909 (one years discount rate at 10...
-
Use MuPAD to find the point on the line y = 2 x/3 that is closest to the point x = -3, y = 1.
-
The autocorrelation function of a random process \(x(t)\) is given by \[R_{x}(\tau)=20+\frac{5}{1+3 \tau^{2}}\] Find the mean square value of \(x(t)\).
-
Mount Prospect Nursery School Company provides baby-sitting and child-care programs. On January 31, 2014, the company had the following trial balance: During the month of February, the company...
-
Briefly describe the application of each of the following methods used in assessing candidates. 1 Conducting the Interview 2 Selection Activities Outline below, a minimum of two (2) strategies you...
-
At December 31, 2008, Sycamore International Foods reported the following information on its balance sheet: Accounts receivable ..................$1,020,000 Less: Allowance for doubtful accounts...
-
a) Using Postulate 1 in Section 1.2 and Definition 8.1, prove Theorem 8.2. b) Prove Theorem 8.9, parts i) through iii) and vi). c) Prove that if x, y R3, then ||x y|| < ||x|| ||y||.
-
Let a, b, c R3. a) Prove that if a, b, and c do not all lie on the same line, then an equation of the plane through these points is given by (x, y, z) d = a d, where d := (a - b) (a - c). b)...
-
A 2-m-long, 0.2-m-diameter cylindrical pine log (density = 513 kg/m 3 ) is suspended by a crane in the horizontal position. The log is subjected to normal winds of 40 km/h at 5°C and 88 kPa....
-
You are required to create a logical network diagram for the entire new network. This means that Sydney will be a branch office in your diagram and Tech Park will exist. This course does not have a...
-
- You decided to open a production facility. The following figure shows the process flow diagram. You hired 5 employees, and each employee performs one task. A-How many units can you produce in 10...
-
Check whether the sections shown in Figure 3 are underreinforced or not. If underreinforced, calculate the ultimate moment capacities. Materials are C20 and S420. Use material factors Yms, Ymc. Take...
-
In March 31, 2021, the end of the fiscal year, the preliminary Trial Balance of MSL Manufacturing Company showed the following information: Accounts Payable Accounts Receivable 375,000 500,000...
-
a. Based on the above graph, the price sellers and buyers receive before the tax is imposed is b. Based on the above graph, the price sellers and buyers will pay after the tax imposed are c. Based on...
-
Solve the given systems of equations by using an appropriate algebraic method. 2x - y = 7 x + y = 2
-
Continuation of Exercise 4-83. (a) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? (b) What is the probability that there are no major...
-
Lucas27 proved the following general result relating to Exercise 37. If p is any prime number, then (n/j) (mod p) can be found as follows: Expand n and j in base p as n = s0 + s1p + s2p2 + + skpk...
-
2n balls are chosen at random from a total of 2n red balls and 2n blue balls. Find a combinatorial expression for the probability that the chosen balls are equally divided in colour. Use Stirlings...
-
A die is rolled twice. What is the probability that the sum of the faces is greater than 7, given that? (a) The first outcome was a 4? (b) The first outcome was greater than 3? (c) The first outcome...
-
A 200 mm reinforced concrete wall carries a dead load of 140 kN/m including self-weight and a live load of 60 kN/m. It is to be carried by 500 mm thick footing with its bottom 1.5 m below NGL. Soil...
-
Using www.land.vic.gov.au look up your current place of abode to gather planning information that might be useful in assessing its future development potential. 2. Write one-page report in WORD...
-
The following situation is an example for a fire detection and suppression system in an office building. The Initiating Event (IE) for the Event Tree is "fire starts", with a frequency of once every...
Study smarter with the SolutionInn App