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Is every square number a sum of two consecutive triangular numbers?
Wiki User
∙ 14y ago
Yes and no. The only square number that this does not work for is 1(since 0 is neither a square or a triangular number). It does however work for every other square number.
Unfortunately I do not know how to prove it mathematically.
Triangle Numbers 1 - 110
1 ,3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105
Square Numbers 1-200
1, 4(1+3), 9(3+6), 16(6+10), 25(10+15), 36(15+21), 49(21+28), 64(28+36), 81(36+45), 100(45+55), 121(55+66), 144(66+78), 169(78+91), 196(91+105)
Wiki User
∙ 14y ago
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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.
What kind of number do you get if you add the squares of two consecutive triangular numbers?
The square of the second number.
Is 36 a triangular number?
36 is a triangular number, Square number and also a Consecutive number.
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.
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 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.
What kind of number is formed when you add two consecutive triangular numbers?
Square numbers.
What kind of number do you get if you add the squares of two consecutive triangular numbers?
The square of the second number.
Is 36 a triangular number?
36 is a triangular number, Square number and also a Consecutive number.
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.
How Are Triangular And Cubed Numbers Linked?
The sum of the first n cubed numbers is the square of the nth triangular number.
Is there a number wich is a square number a rectangular number and also a triangular number?
If you define a rectangular number as a number which is the product of two consecutive integers, it cannot be square.
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.
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 is the result of combining two consecutive triangle numbers?
It is a perfect square. The sum of the n and n+1th triangular numbers is (n+1)2
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.?
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Is the sum of two whole consecutive numbers is never a square number?
Correct!
