0
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)
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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.
