1 and 36
The sum of the first n cubed numbers is the square of the nth triangular number.
The only square number that is also a triangular number is 1. This is because square numbers are of the form n^2, while triangular numbers are of the form (n*(n+1))/2. When setting these two equations equal to each other and solving for n, we find that n=1 is the only integer solution. Therefore, 1 is the only number that is both a square number and a triangular number.
Yes. 1 is both square and triangular.
Square numbers.
1 and 36
1,36,1225,41616,1413721
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.
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.
34
The sum of the first n cubed numbers is the square of the nth triangular number.
if you don't count 0 or 1, I believe it's 36 and 1225.
The only square number that is also a triangular number is 1. This is because square numbers are of the form n^2, while triangular numbers are of the form (n*(n+1))/2. When setting these two equations equal to each other and solving for n, we find that n=1 is the only integer solution. Therefore, 1 is the only number that is both a square number and a triangular number.
Yes. 1 is both square and triangular.
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.
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.