Question: 1. (7 Points) Do the following: The figure below shows the first four octagonal numbers. O a. Find a formula for On, the nth

1. (7 Points) Do the following: The figure below shows the first

1. (7 Points) Do the following: The figure below shows the first four octagonal numbers. O a. Find a formula for On, the nth octagonal number. (Hint: The figure below might be helpful) b. Give a precise justification of how you arrived at the formula you found in part (a). 1. (7 Points) Do the following: The figure below shows the first four octagonal numbers. O a. Find a formula for On, the nth octagonal number. (Hint: The figure below might be helpful) b. Give a precise justification of how you arrived at the formula you found in part (a).

Step by Step Solution

★★★★★

3.48 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Parts a and b of the drawing show the same uniform and constant (in time) magnetic field directed perpendicularly into the paper over a rectangular region. Outside this region, there is no field....

Compare your answers from parts a and b of Exercise 43 with ÎH values calculated for each reaction using standard enthalpies of formation in Appendix 4. Do enthalpy changes calculated from bond...

Use the spreadsheet model to rework Parts a and b of Problem 20-8. Then answer the following question. In problem 20-8 a and b parts a. Should the loom be leased or purchased? b. The salvage value is...

New Ventures intends to start business on January 1. Production plans for the first four months of operations are as follows: January .........20,000 units February ......50,000 units March...

New Ventures intends to start business on January 1. Production plans for the first four months of operations are as follows: January.........................20,000 units...

On January 1 of each of the first four years of its existence, Allway Company purchases a new unit of equipment. Each unit has a four-year life and zero salvage value, costs $\$ 100,000$, and is...

In contrast, an eight-year Treasury bond has a yield of 8 percent. a. If inflation is expected to average 7 percent over the first four years, what is the expected real rate of interest? b. If the...

A Treasury note with a maturity of four years carries a nominal rate of interest of 10 percent. In contrast, an 8-year Treasury bond has a yield of 8 percent. a. If inflation is expected to average 7...

Norton Dog Care Co. wants to finance a new animal shelter by making eight annual deposits into a fund earning 7%, compounded annually. The first four deposits are $ 20,000 each and will be paid at...

Norton Dog Care Co. wants to finance a new animal shelter by making eight annual deposits into a fund earning 7%, compounded annually. The first four deposits are to be $ 20,000 each and will be paid...

The spherical surface of a piano-convex lens comes into contact with a glass plate. The space between the lens and the plate is filled up with carbon dioxide. The refractive indices of the lens,...

The Precisa Ltd. can invest in a new production line for its best traded type of car tire. This has the potential to generate either losses of up to $120 000 at the end of first year after investment...

A collection of all of the company's various accounts and their balances is: Multiple Choice a financial statement. a locker. a journal. a ledger.

Positive charge Q is distributed uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x = 2R (Fig. 22.44). Find the magnitude...

Fido Grooming provides grooming services in the local community. In April, Kevin Oliver, the owner, incurred the following operating costs to groom 650 dogs: Wages . . . . . . . . . . . . . . . . . ....

Sketch the vector function v = r/r2, and compute its divergence. The answer may surprise you... can you explain it?

A storage tank contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Q...

The Benson Manufacturing Company produces rides for amusement parks. Parts for the rides are purchased from other suppliers. Rides are then assembled in various company plants. Recently, Benson...

solve Suppose f (x) = 4x5 Find the slope of the tangent line to the graph of y = f (a) at (3, 1). You get: O A. 16 1 O B. 24 1 O C. 972 O D. 1620 O E. 00062

PowerPoint Assignment for BUS 401: Principles of Finance You have been asked by a manager in your organization to put together a training program explaining Net Present Value (NPV) and Future Value...

Wesleyan Economic Working Papers http://repec.wesleyan.edu/ No: 2012-006 Closing the Gender Gap: What Would It Take? Joyce P. Jacobsen January, 2012 Department of Economics Public Affairs Center 238...

I need help with this please. Essentially I need to complete each of the functions listed within the directions. The main functions are just for testing the listed functions. A sample output would be...

Abstract In this programming assignment, you will implement a Fibonacci function that avoids repet- itive computation by computing the sequence linearly from the bottom up: F(0) through F(n) . The...

Hi, Please help me with homework. Thank you !!! Thumbs up for ALL answers. Material: Book Title Social Media Marketing: A Strategic Approach Author Barker, Barker, Bormann, Roberts, Zahay...