all the numbers you put must all add up to 15 vertical, horizontal and diagonal.
Square numbers.
Consecutive square numbers are the squares of consecutive integers. For example, if you take the integers 1, 2, and 3, their squares are 1² = 1, 2² = 4, and 3² = 9, making 1, 4, and 9 consecutive square numbers. These square numbers differ by an increasing odd number: 4 - 1 = 3 and 9 - 4 = 5. Thus, the pattern continues as you square larger consecutive integers.
Yes.
There is no such thing as consecutive numbers because numbers are infinitely dense. Between any two numbers there is another and so there is no such thing as a "next" number.There are no integers (square or non-square) between any two consecutive integers. There are infinitely many numbers between any two consecutive integers and, if the integers are non-negative, every one of these will be a square of some number so the answer is none. If the integers are negative then the infinitely many numbers will have a square root in the complex field but not in real numbers. In this case the answer is either none or infinitely many, depending on the domain.
The sum of the first 950 consecutive odd numbers is 902,500. This is actually a very easy calculation. To determine the sum of any number of consecutive odd numbers beginning with the number 1, simply square the number. In your case, 950 squared is 902,500.
Square numbers.
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Correct!
The square of the second number.
5.385 is the square root of 29. No consecutive numbers.
The numbers are 88 and 89 (88 x 89 = 7,832). This is very easy to find. The products you are looking for are consecutive and so they are very close to each other. Calculate the square root of the number, and it is easy to see that if there are two consecutive whole numbers that will be products of the number, they will be consecutive whole numbers very close to the square root. The square root of 7832 is about 88.5.
13
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.
There are none.
Yes.
There are none. However, there are two consecutive positive odd numbers: 25 and 27.
There is no such thing as consecutive numbers because numbers are infinitely dense. Between any two numbers there is another and so there is no such thing as a "next" number.There are no integers (square or non-square) between any two consecutive integers. There are infinitely many numbers between any two consecutive integers and, if the integers are non-negative, every one of these will be a square of some number so the answer is none. If the integers are negative then the infinitely many numbers will have a square root in the complex field but not in real numbers. In this case the answer is either none or infinitely many, depending on the domain.