Question: Triangular Numbers A positive integer m is a triangular number if it can be written as m = n(n1) /2for some positive integer n. Write

Triangular Numbers A positive integer m is a triangular number if it can be written as m = n(n1) /2for some positive integer n. Write a SAGE function MTri(m) which returns the smallest triangular number larger or equal to m.

Step by Step Solution

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 Databases Questions!

1) Triangular Numbers A positive integer m is a triangular number if it can be written as m=2n(n1) for some positive integer n. Write a SAGE function MTri(m) which returns the smallest triangular...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

Introduction and learning objectives When you were learning about operational analysis earlier in the term, we talked about jobs that require multiple visits to the CPU (or servers) to receive their...

Can this be written in python please, the seconds photo is to show what the prof gave us.. Thanks! Question 1 (6 points): Purpose: To practice reading from a file and using a dictionary as a mapping...

A reverse number is a number written in arabic numerals, but where the order of digits is reversed. The first digit becomes the last and vice versa. For example, the number 1245 when its digits are...

Control Theory allows us to find various useful properties of a system such as stability. Draw a picture of a generic control system, explaining the functions of feedback and the design goals for the...

The Hailstone sequence ( HYPERLINK "https://plus.maths.org/content/mathematical-mysteries-hailstone-sequences" https://plus.maths.org/content/mathematical-mysteries-hailstone-sequences) is an...

In this assignment your task is to design, implement, and test the class hierarchy as described below. 1. Define and implement an abstract class called Structured Matrix. 2. Define and implement a...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Kali's Ski Resort, Inc. stock is quite cyclical. In a boom economy, the stock is expected to return 30 percent in comparison to 12 percent in a normal economy and a negative 20 percent in a...

Weighing of masses gives a mixture at 60C, 225 kPa with 0.5 kg O2, 1.5 kg N2 and 0.5 kg CH4. Find the partial pressures of each component, the mixture specific volume (mass basis), mixture...

Which of the following clauses specify the rows of table to be included in the SQL query results? Group of answer choices SELECT clause FROM clause WHERE clause COLUMN clause

Corey contributed equal deposits at the end of every month for 5 years into an investment fund. She then decided to stop making payments and left the money in the fund to grow for another 3 years....

Identify three uses of the pause when presenting your message to an audience. (Objective 2)

Explain how physical appearance can affect written and oral messages.What messages might be sent by (a) a coworker wearing jeans and a T-shirt to present an idea for a marketing campaign for a new...

Identify three internal stimuli and three external stimuli that have prevented you from being an effective listener in the past. (Objective 3)