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What type of graph is present between natural numbers verses their squares?
Wiki User
∙ 13y ago
An approximation of a parabola. (It would be an exact parabola if you graph all numbers, not just natural numbers.)
Wiki User
∙ 13y ago
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What is the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum?
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
What is the sum of the squares of the first 20 natural number1 to 20?
The sum of the squares of the first 20 natural numbers 1 to 20 is 2,870.
Difference between the sum of the squares and the square of the sums of n numbers?
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
What is the relationship between composite numbers and rectangular numbers?
Rectangular numbers are a subset of composite numbers. The squares of prime numbers will be composite but not rectangular.
Perfect squares?
Natural numbers which are the scales of some natural numbers are perfect squares
What is the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum?
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
What whole numbers have squares between 10 and 65?
There are an infinite amount of numbers that that have squares between 10 and 65
What is the sum of the squares of the first 20 natural number1 to 20?
The sum of the squares of the first 20 natural numbers 1 to 20 is 2,870.
Perfect numbers between 20 and 30?
There are no perfect numbers between 20 and 30. Perfect numbers are numbers that are equal to the sum of their proper divisors, excluding the number itself. The perfect numbers within this range would be 28, but that is incorrect as 28 is not a perfect number.
Difference between the sum of the squares and the square of the sums of n numbers?
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
How many prime numbers have squares between 100 and 300?
There are two prime numbers with squares between 100 and 300. These prime numbers are 11 and 13. (112 = 121 and 132 = 169.)
How many numbers between 2 and 20 are perfect squares?
Three numbers.
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
How many numbers between 30 and 50 are perfect squares?
Two. 36, and 49 are perfect squares.
What is the relationship between composite numbers and rectangular numbers?
Rectangular numbers are a subset of composite numbers. The squares of prime numbers will be composite but not rectangular.
What is a productogon?
it is a triangle with circles at the corners, and squares in the middle of the corners. The squares have numbers in them, and you have to put numbers in the circles. However, the numbers in the circles have to add up to the number of the square between them. Simple, right?
