0
What are the connection between triangular numbers and square numbers?
Wiki User
∙ 8y ago
One relationship is that the sum of the nth and the previous triangular numbers is equal to the nth square number.
That is
T(n-1) + T(n) = S(n)
where T(n) is the nth triangular number and S(n) is the nth square number.
Wiki User
∙ 9y ago
Wiki User
∙ 8y agoT(n-1) + T(n) = S(n)
Add your answer:
Earn +20 pts
How Are Triangular And Cubed Numbers Linked?
The sum of the first n cubed numbers is the square of the nth triangular number.
What kind of number is formed when you add two consecutive triangular numbers?
Square numbers.
Are there any triangular numbers that are square numbers?
Yes. 36 is a triangular number, because it is 1+2+3+4+5+6+7+8, and it is also a square number, because 36=6x6. 1 is another square number that is traditionally considered to be triangular.
What are the first two numbers which are both triangular an square?
1 and 36
How many faces does a triangular square have?
None, because there can be no such thing as a triangular square. If it is triangular it cannot be a square, if it is a square it cannot be triangular.
What triangular numbers are square numbers?
1,36,1225,41616,1413721
How many triangular numbers are also square numbers?
There are an many triangular numbers that are also square numbers. Simply put, the sum of two consecutive triangular number equals a square number. Examples include 1 and 36.
Is 25 a triangular number?
No - but it is a square number. 1,3,6,10,15,21 & 28 are all triangular numbers. 1,4,9,16,25 & 36 are all square numbers.
What two numbers are triangular and square?
34
How Are Triangular And Cubed Numbers Linked?
The sum of the first n cubed numbers is the square of the nth triangular number.
What is the difference between a triangular prism and a square prism?
A Square prism has a square base a triangular has a trianguler base
What kind of number is formed when you add two consecutive triangular numbers?
Square numbers.
Are there any triangular numbers that are square numbers?
Yes. 36 is a triangular number, because it is 1+2+3+4+5+6+7+8, and it is also a square number, because 36=6x6. 1 is another square number that is traditionally considered to be triangular.
What are the first two numbers which are both triangular an square?
1 and 36
What is the difference between a pyramid and a square pyramid?
A pyramid which we normally call a triangular- based pyramid has 4 triangular phases (including the base, so that means the base of a normal pyramid is triangular) but a a square pyramid has a square phase to its base and the other 4 phases are triangular. so that can be identified as the difference between a pyramid and a square pyramid.
How many faces does a triangular square have?
None, because there can be no such thing as a triangular square. If it is triangular it cannot be a square, if it is a square it cannot be triangular.
When you add two triangular numbers why do they equal to a square number?
They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.
