Triangular numbers and square numbers were introduced There are also pentagonal numbers, which were also studied by the Greeks Four pentagonal numbers are 1, 5,12, and 22 (a) Determine the next three pentagonal numbers (b) Describe a procedure to determine the next five pentagonal numbers without d...

a The next 3 pentagonal numbers are 35 51 and 70 b The n th pentagonal number is obtained by addi ...

Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by

Question:

Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by the Greeks. Four pentagonal numbers are 1, 5,12, and 22.

5 12 22

(a) Determine the next three pentagonal numbers.

(b) Describe a procedure to determine the next five pentagonal numbers without drawing the figures.

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

Step by Step Answer:

Related Book For answer-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

See More Books

Question Posted: Jan 08, 2019 08:13 AM

See More Questions

The ancient Greeks labeled certain numbers as triangular numbers. The numbers 1, 3, 6, 10,15, 21, and so on are triangular numbers. (a) Can you determine the next two triangular numbers? (b) Describe...
Many states supplement their tax revenues with state-sponsored lotteries. Most of them do so with a game called lotto. Although there are various versions of this game, they are all basically as...
The numbers 1, 5, 12, 22, 35, 51, . . . are called pentagonal numbers because they represent the numbers of dots in the sequence of figures shown below. Use mathematical induction to prove that the...
Indicate identities used n cot20-1 Prove: cot 20 2cot0
Angel Martin is a young entrepreneur who operates Martin Music Services, offering singing lessons and instruction on musical instruments. Martin wishes to expand but needs a $30,000 loan. The bank...
Write a C++ statement that uses the erase function to remove the first two characters from the message variable.
Using quarterly data since 1994, graph Japan's real exchange rate against its net exports as a fraction of GDP. Also create a scatterplot of these two variables and add a trend line for each. Is the...
Hahn Manufacturing purchases a key component of one of its products from a local supplier. The current purchase price is $1,500 per unit. Efforts to standardize parts succeeded to the point that this...
Chism states that "...the philosophy of teaching statements are descriptions of how the teachers think learning occurs, how they think they can intervene in this process, what chief goals they have...
While James Craig and his former classmate Paul Dolittle both studied accounting at school, they ended up pursuing careers in professional cake decorating. Their company, Good to Eat (GTE),...
Place the appropriate plus or minus signs between each digit so that the total will equal 1. 0 1 2 3 4 5 6 7 8 9 = 1
Perform the indicated calculation by first converting each number to scientific notation. Write your answer in decimal notation. 8,400,000/70,000
Andro Adhesives Inc. budgets 15,000 direct labor hours for the year. The total overhead budget is expected to amount to $42,000. The standard cost for a unit of the company's product estimates the...
Mark is excited to begin training as an emergency department nurse. On his first day, the nurse training him makes multiple negative remarks about the physician on duty. "Don't ever make a...
You are provided the following information of a firm's stocks and bonds along with other pertinent information. The stocks have a standard deviation of 50% and a correlation of 0.6 with the market...
Club sport teams through the Amateur Athletic Union (AAU) do not solely depend on local business partnerships for sponsorship. Identify two corporate sponsors for the AAU. Describe some specific...
Spending habits post pandemic have changed due to a multitude of reasons. We spent years being afraid of crowds, having our entire lives changed and being deathly afraid of this virus. Now that the...
Give real examples of proactive and reactive stimuli in the business world, preferably companies. As shown in the attached photo: On the one hand, the proactive stimuli, which is a strategy based on...
The following information is for the Painting department for the month of December. Required: a. Calculate the costs assigned to units completed and transferred out of the Painting department for...
5. How much would you need to deposit in an account now in order to have $5,000 in the account in 5 years? Assume the account earns 2% interest compounded monthly. 10. You deposit $300 each month...
1. Answer Problem 4.74 for bone density of the femoral neck? 2. Answer Problem 4.75 for bone density of the femoral neck?
Determine whether the underlined value is a parameter or a statistic. 1. Following the 2014 national midterm election, 18% of the governors of the 50 United States were female. 2. The average score...
A farmer interested in the weight of his soybean crop randomly samples 100 plants and weighs the soybeans on each plant? A research objective is presented. For each, identify the population and...
China and India have the resources to produce textiles and toys India produces 10 units of textiles per hour of labor and 20 units of toys per hour China produces 10 units of textiles per hour and...
With so many policy variations to choose from, Ross and Jamie Lee are unsure which company is offering the most competitive rates.question How will they be able to compare the rates between the...
For each of the following, find the transition matrix corresponding to the change of basis from the standard basis E = {e1, e2} to {u, u2}: 1. (5pts) u = 12= (4) Answer: 2. (5pts) u = 12= Answer: 23

Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by

Question:

5 12 22

Step by Step Answer:

a The next 3 pentagonal numbers are 35 51 and 70 b The n th pentagonal number is obtained by addi...View the full answer

A Survey of Mathematics with Applications

Students also viewed these Mathematics questions