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What are the connection between triangular numbers and square numbers?
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.
Can the sum of the first n consecutive positive integers be equal to the square of a prime number?
No, it is not possible.
What does n equal in n2 equals 225?
You are looking for the square root of 225 which is 15. (15x15=225)
Can a shape be a square a parallelogram and a rhombus all at the same time?
If all the sides are equal n measurement, yes.
Why do we test only the prime numbers less than the square root of the given number?
First, you do not. You must also test the square root of the given number. So the question should be in terms of "less than or equal to". Suppose you wish to test the number n and suppose s is the square root of n. Then s*s = n Now suppose p is factor of n, with factor pair q. so that n = p*q and, without loss of generality, assume that p ≤ q. Thus p*q = s*s so that p ≤ s ≤ q That is to say, one of the pair of factors of n will be less or equal to its square root while the other member of the factor pair will be greater or equal to the square root.
Ten times the number n decreased by 13 is equal to the square of the same number n increased by 3?
If ten times the number n decreased by 13 is equal to the square of the same number n increased by 3, then the value of n is either 8 or 2.
Is it true that the square of a number is greater than the number itself?
It depends on what you mean by a number. If n is a positive integer (except for 1), then n^2 is greater than n. If n = 0 or 1, then n and n^2 are equal. If n = 1/2, then n is greater than its square. If n is negative, then n is always less than its square.
What are the connection between triangular numbers and square numbers?
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.
Can the sum of the first n consecutive positive integers be equal to the square of a prime number?
No, it is not possible.
A shape with four equal sides?
Rhombus,n if all the angles are right angels,then its called a square..
What does n equal in n2 equals 225?
You are looking for the square root of 225 which is 15. (15x15=225)
If 10n 100 then n2 equals what number?
If 10^n = 100, then n would equal 2 because 10^2 = 100. To find n^2, you would square the value of n, which in this case is 2. Therefore, n^2 would equal 2^2, which is 4.
Is 33 a square number?
No, 33 is not a square number. A square number is the result of multiplying an integer by itself. In the case of 33, there is no integer that can be multiplied by itself to equal 33. Square numbers are usually expressed in the form of n^2, where n is an integer.
What shape has four square coRners n four sides?
a square or a rectangle as the length of the sides has not been defined, if the 4 sides must be equal then it is just a square
Can a shape be a square a parallelogram and a rhombus all at the same time?
If all the sides are equal n measurement, yes.
What is the the formula to get n square meter of one acre?
One acre squared is equal to 4047 meters squared. So the formula to get n square meters is n x 4047=n x acres squared, that is because you will multiply 4047 times how many acres you want to find out.
Why do we test only the prime numbers less than the square root of the given number?
First, you do not. You must also test the square root of the given number. So the question should be in terms of "less than or equal to". Suppose you wish to test the number n and suppose s is the square root of n. Then s*s = n Now suppose p is factor of n, with factor pair q. so that n = p*q and, without loss of generality, assume that p ≤ q. Thus p*q = s*s so that p ≤ s ≤ q That is to say, one of the pair of factors of n will be less or equal to its square root while the other member of the factor pair will be greater or equal to the square root.
