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Earn +20 ptsQ: What are the connection between triangular numbers and square numbers?
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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.
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