For each positive integer n, the nth triangular number is the sum of the first n positive
integers. Let a, b, c be three consecutive triangular numbers with a < b < c.
Prove that if a + b + c is a triangular number, then b is three times a triangular number.

Question

07-10-2022
Mathematics

Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

For each positive integer n, the nth triangular number is the sum of the first n positive
integers. Let a, b, c be three consecutive triangular numbers with a < b < c.
Prove that if a + b + c is a triangular number, then b is three times a triangular number.

Sagot :

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.

What is the best measuring stick to use to determine the degree of fitness in evolutionary selection? A. The increase in lifespan resulting from selection B. Th

Why did Athens become the leading power of Greece after the Persian wars? Why didn't Sparta become the leading Greek city-state?

quadratic formula 9x²-6x-11=0

"Solving Equations by Completing the Square: m^2+2m-48=-6

sale price $25 original price $40 what percent.represents the discount that received when buying the sweater

Why does the evaporation of sweat cool your body on a warm day

Why did the USA and the USSR fall out after World War 2?

what did the council of 500 do

What are the solutions to the equation x2 + 6 = 87? A. –9 and 9

For each positive integer n, the nth triangular number is the sum of the first n positive integers. Let a, b, c be three consecutive triangular numbers with a < b < c. Prove that if a + b + c is a triangular number, then b is three times a triangular number.

Sagot :

Other Questions

For each positive integer n, the nth triangular number is the sum of the first n positive
integers. Let a, b, c be three consecutive triangular numbers with a < b < c.
Prove that if a + b + c is a triangular number, then b is three times a triangular number.