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What triangular numbers are square numbers?

Updated: 12/21/2020
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1,36,1225,41616,1413721

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Q: What triangular numbers are square numbers?
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Related questions

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 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 are the connection between triangular numbers and square numbers?

One relationship is that the sum of the nth and the previous triangular numbers is equal to the nth square number.That isT(n-1) + T(n) = S(n)where T(n) is the nth triangular number and S(n) is the nth square number.


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.


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 kind of number do you get if you add the squares of two consecutive triangular numbers?

The square of the second number.


What does Term mean when using square and triangle numbers?

Each term is a square or triangular number. In the context of the sequence of square numbers, the first term is the first square number, the second term is the second square number and so on.