The ancient Greeks labeled certain numbers as triangular numbers. The numbers 1, 3, 6, 10,15, 21, and
Question:
(a) Can you determine the next two triangular numbers?
(b) Describe a procedure to determine the next five triangular numbers without drawing the figures.
(c) Is 72 a triangular number? Explain how you determined your answer.
Transcribed Image Text:
13 6 10 15 21
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a 28 and 36 b To find the 7 th triangular number ad...View the full answer
Answered By
Mary Boke
As an online tutor with over seven years of experience and a PhD in Education, I have had the opportunity to work with a wide range of students from diverse backgrounds. My experience in education has allowed me to develop a deep understanding of how students learn and the various approaches that can be used to facilitate their learning. I believe in creating a positive and inclusive learning environment that encourages students to ask questions and engage with the material. I work closely with my students to understand their individual learning styles, strengths, and challenges to tailor my approach accordingly. I also place a strong emphasis on building strong relationships with my students, which fosters trust and creates a supportive learning environment. Overall, my goal as an online tutor is to help students achieve their academic goals and develop a lifelong love of learning. I believe that education is a transformative experience that has the power to change lives, and I am committed to helping my students realize their full potential.
5.00+
4+ Reviews
22+ Question Solved
Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Question Posted:
Students also viewed these Mathematics questions
-
The ancient Greeks labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. (a) Determine the next three square numbers. (b) Describe a procedure to...
-
Pole vault technology has evolved considerably since the times of the ancient Greeks and even more recently as new materials have found their way into pole manufacturing. There are currently no...
-
The first six triangular numbers (1, 3, 6, 10, 15, 21) are printed one each on one side of a card. The cards are placed face down and mixed. Choose two cards at random, and let x be the sum of the...
-
Consider the following multiplicative demand function where QD = quantity demanded, P = selling price, and I = disposable income: QD = 1.6 P -1.5 Y .2 QD = 1.6 P ^-1.5y.2 The coefficient of I...
-
Egg Harbor Township authorized the construction of a community center, which was controlled by the Township's Project Labor Agreement (PLA). All contractors working on this community center project...
-
In the previous question, one example assumed that banks kept a 100% reserve ratio. Some economists have recommended that all banks be required by law to keep 100% of their deposits in the bank...
-
What will be the final equilibrium temperature when \(100 \mathrm{~g}\) of water at \(30^{\circ} \mathrm{C}\) and \(200 \mathrm{~g}\) of water at \(80^{\circ} \mathrm{C}\) are mixed in an insulated...
-
1. How effective do you think MyGofer will be as a retail venture? 2. In what way is Sears Holding a combination of the old economy and the new economy? 3. What advice can you offer Sears to make...
-
Tell the story of the founding of your company in words pictures and sounds. Describe the background and the attributes of the founders Discuss the inspiration for the founding Part Two: Tell the...
-
On January 1, Boston Company completed the following transactions (use a 7% annual interest rate for all transactions): ( EV of $1. PV of $1. EVA of $1. and PVA of $1) (Use the appropriate factor(s)...
-
A complex view can contain which of the following? a. Data from one or more tables b. An expression c. A GROUP BY clause for data retrieved from one table d. Five columns from one table e. All of the...
-
The pattern shown is taken from a quilt design known as a triple Irish chain. Complete the color pattern by indicating the color assigned to each square. 12|3 4 |5 67 89 10 11 12
-
The teachers in question 7 also reported that pay and benefits were poor, yet they continue to teach. Use Herzbergs two-factor theory to explain this finding.
-
Write a program that uses a database of quizzes. Each quiz has a description and one or more multiple-choice questions. Each question has one or more choices, one of which is the correct one. Use...
-
Bethesda Hospital has recently developed an occupational medicine program. It wants to target employers in the Baltimore metropolitan area. The director of the pro- gram has a range of services...
-
Write a program that reads an integer n and then prints all squares of the integers from 1 to n that are palindromes (that is, their decimal representation equals its reverse). Use IntStream.range,...
-
Enhance the program of Exercise P24.6 so that it stores the users responses in the database. Add Student and Response tables. (User is a reserved word in SQL.) Data from Exercise P24.6 Write a...
-
Write a method public static clearDirectory(Path dir) that removes all files (but none of the directories) from a directory. Be careful when testing it!
-
As Figure 14-13 shows, the portion of the Bank of Canada's assets made up of Canadian government treasury bills and bonds declined in late 2008. Go to www. statcan.gc.ca. Under "Search," click on...
-
If (x) 0 on the interval [a, b], the definite integral gives the exact area under the curve between x = a and x = b.
-
Write the statements in symbolic form. Let p: The temperature is 90. q: The air conditioner is working. r: The apartment is vacant. The temperature is 90 and the air conditioner is working, or the...
-
Determine the truth value for each simple statement. Then, using the truth values, determine the truth value of the compound statement. If 1 + 1 = 3, then 5 - 2 = 3.
-
If it rains on Monday, then we will go shopping. It does not rain on Monday. Therefore, we will not go shopping. Translate the argument into symbolic form. Then determine whether the argument is...
-
Make Versus Buy: Samaneh's SKateboard Company produces high quality skateboards at affordable prices with over 10 different types of skateboards. Most of the manufacturing occurs in Hawaii. The top...
-
Simon Company's year-end balance sheets follow. At December 31 Assets Cash Accounts receivable, net Merchandise inventory Prepaid expenses Plant assets, net Total assets Liabilities and Equity...
-
Discuss the use of encryption in databases. What are the different levels of encryption (e.g., at-rest, in-transit), and what performance implications might encryption have ?
Study smarter with the SolutionInn App