Question: The triangular numbers are the following: T = 1,T = 3, T3 = 6, T4 = 10, ... They are called triangular numbers because

The triangular numbers are the following: T = 1,T = 3, T3

The triangular numbers are the following: T = 1,T = 3, T3 = 6, T4 = 10, ... They are called triangular numbers because you can think of the number as a series of dots which can be arranged into a triangle as shown below: T-1 T-3 T3-6 The formula for the nth triangular number is Tn is 10, so T = 10. 2628 is a triangular number. Which one is it? 74-10 n(n+1) = 2 -. For example, the fourth triangular number For example, if 2628 happened to be the 4th triangular number (which of course it's not), your answer would be 4.

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 Mathematics Questions!

Using the given information, calculate the gross requirements for each of the components when the company plans to build 80 of its Q Models if you have these inventories: 80 units of component T and...

Graph the average total cost curves for Plant 3 and Plant 4. Explain why these two ATC curves differ. The table shows the production function of Bonnies Balloon Rides. Bonnies pays $500 a day for...

Graph the average total cost curves for Plant 1 and Plant 2. Explain why these two ATC curves differ. The table shows the production function of Bonnies Balloon Rides. Bonnies pays $500 a day for...

Haskell Question: The Triangular Series is: 0, 1, 3, 6, 10, 15, ... Numbers in the series are denoted T(n), where T(0) = 0, T(1) = 1, T(2) = 3, T(3) = 6, etc. Make a function triSeries that returns...

Hello Need help with the following loops. Can you show me step by step how to sort them? I appreciate your time thank you. Please write legible. PercolateMaxDown QUESTION: Top of Form Given a...

Code in c uild Prelab 3 Submission Information Submit this assignment by following using the lab code given by the TA Use the following submit comman For example: ng the instructions given by your TA...

Points: 0 of 1 Save Cafe Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical observations, Gary has gathered the...

in Java please with explanation FYI: - NO USE OF ARRAYS or any type of collection variables. Credit card validation Problem. A credit card number must have between 13 and 16 digits. It must start...

CSBP 221 - Programming Lab I Lab 4 Objective: The exercises in this document introduce the Graphical User Interface (GUI) in Java. This lab maps to CLO #4: Use predefined libraries to develop...

Problem 1: A small store has only one cashier. Let the interarrival time be uniformly distributed between 1 and 10 minutes. Let the service time distribution is as shown in the following table. 1 2 3...

You made one investment of $1234 a year ago and another investment of $543 88 days ago. What is the total value of your investments if you were to withdraw them today? The investments have gained...

Identification of Events with Source Documents Many events are linked to a source document. The following is a list of events that occurred in an entity: a. Paid a one-year insurance policy. b. Paid...

Solve the following differential equations: ( a ) dp dt = t 2 p 5 p + t 2 5 . [ 5 ] ( b ) cos ( x ) sec 2 ( y ) dy dx = csc 2 ( y ) sec ( x ) . [ 5 ] ( c ) ( e y 5 ) y = 2 + cos x .

There are five consecutive integers.Thrice the middle integer exceeds the sum of the greatest and the least integers by 12.Find the greatest integer

While performing an experiment to study the dependence of current on the potential difference across two ends of the resistor, a student keeps the circuit closed for a long time to measure the...

CASE: Bram-Wear Lenny Bram, owner and manager of Bram-Wear, was analyzing performance data for the men's clothing retailer. He was concerned that inventories were high for certain clothing items,...

2 7 Multiple Choice 3 points A fashion retailer based in Italy finds success in the European market but faces slow growth in Southeast Asia due to cultural misunderstanding, repulatory conplexites,...

Use the following tree diagram to answer the questions in Problems 25-30. Find $P\left(D \mid A_{1}ight) \cdot P\left(A_{1}ight)$. A A2 A3 D D D D D D Path number 1 2 3 4 5 6

In Problems 47-56, decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally,...

Perform the indicated operations in Problems 510 using arithmetic for a 12-hour clock. a. 3 X 5-7 b. 7+3 X 2

Studies by Harry Harlow showed that the most important element to developing attachment is a. feeding. b. physical contact. c. mental challenges. d. sleep.

According to Baumrind, which type of parent would most likely say, Because I said so or Its my way or the highway! a. authoritarian b. authoritative c. permissive neglectful d. permissive indulgent

According to Erikson, which stage results in a sense of independence because of ones ability to control their own actions? a. trust versus mistrust b. autonomy versus shame and doubt c. initiative...