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Is there an arithmetic sequence of natural numbers in which no term is a perfect square?
Wiki User
∙ 12y ago
I believe this is one:
[(X,... X+1,... X+2,... X+3,...) squared] +1
Where X is any natural number.
(X) squared + 1
(X + 1) squared + 1
(X + 2) squared + 1
(X + 3) squared + 1...
Wiki User
∙ 12y ago
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What does d equal in the following number sequence 1 d 27 64 125?
The numbers are perfect cubes, so d will also be a perfect cube.
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 natural numbers up to 5000 are perfect cubes?
The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
What is the number of perfect squares that exist in base 5 system?
There are infinitely many, just like in base 10. In any base system, the number of perfect squares is the same. Take the natural (counting) numbers 1, 2, 3, .... Squaring each of these produces the perfect squares. As there are an infinite number of natural numbers, there are an infinite number of perfect squares. The first 10 perfect squares in base 5 are: 15, 45, 145, 315, 1005, 1215, 1445, 2245, 3115, 4005, ...
How do you use exact in a sentence?
Exact means precise, spot on, perfect (As in similarity... not as in 'wonderful')Example:The vault would not open without the exact sequence of numbers being entered in the right order.
Perfect squares?
Natural numbers which are the scales of some natural numbers are perfect squares
Can a recursive formula produce an arithmetic or geometric sequence?
arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.
Perfect numbers between 20 and 30?
there are no perfect numbers instead there are perfect cubes, perfect squares, natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. If you want natural no. they are 21, 22, 23, 24, 25, 26, 27, 28, and 29.
What is the next number in the sequence 25 36 49 64?
81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.
What number comes next in the sequence 61 691 163 487 4201?
9631. The sequence consists of the prime numbers which, when their digits are reversed, are perfect squares.
What does d equal in the following number sequence 1 d 27 64 125?
The numbers are perfect cubes, so d will also be a perfect cube.
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 natural numbers less than 100 are both perfect squares and perfect cubes?
64 is the square of 8 and the cube of 4.
What are names of 5 famous math sequences?
Fibonacci Sequence: 1,1,2,3,5,8,... Perfect Squares: 1,4,9,16,25,... Triangular Numbers: 1,3,6,10,15,... Prime Numbers: 2,3,5,7,11,13,17,... 2^n: 2,4,8,16,32,64,...
What are all the almost perfect numbers?
An almost perfect number is a natural number n such that the sum of all divisors of n is equal to 2n - 1.
What is the pattern sequence 1-1-4-3-9-6-16-10-25-15?
These are two merged sequences. The odd terms are perfect square numbers and the evens are triangular numbers.
What are example of perfect numbers?
6 and 28 are perfect numbers.
