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dem82 [27]
2 years ago
5

Would any one know how to solve this arithmetic series on the number of magic squares created per order. n=order, A=integer, D=d

ifference between terms. The solution is n=1,2,... are 1, 0, 1, 880, 275305224, ...

Mathematics
2 answers:
Svetradugi [14.3K]2 years ago
7 0

Answer:

Step-by-step explanation:

Pachacha [2.7K]2 years ago
6 0

Answer

1.7761 * 10^19 (5*5 magic square estimation)

Step-by-step explanation:

Excluding rotations and reflections, there is exactly one 3×3 magic square, exactly 880 4×4 magic squares, and exactly 275,305,224 5×5 magic squares. 778-783 gives the 880 4 X 4 squares.

9

down vote

Given an n×nn×n magic square, write MnMn for its magic constant. There are nn rows, each of which has sum MnMn, so the sum of all the entries in the square is n⋅Mnn⋅Mn. Each whole number between 11 and n2n2 appears once, so

nMn=1+2+…+n2=n2(n2+1)2,Mn=n(n2+1)2.

nMn=1+2+…+n2=n2(n2+1)2,Mn=n(n2+1)2.

In particular, every n×nn×n magic square has the same constant.

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Which term completes the product so that it is the difference of squares?
elena-s [515]
Answer: 3 :)

Ignore this part it needs to be long:
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8 0
3 years ago
I'm thinking of a ten-digit integer whose digits are all distinct. It happens that the number formed by the first n of them is d
PIT_PIT [208]
The problem here takes a brilliant mind to answer this. This problem can easily be answered using programming because we can not then and there push all the possibilities using paper and pen.
The answer is 3816547290. 
Trying all the possibilities starting form 1000000080 (we are sure that the last number should be 0). Then traversing that number until 9999999990. Each traverse, check the number if its divisible to n, so on and so forth.
3 0
3 years ago
Least to greatest 2.3 2 4/5 2.6
Volgvan
2.3 is smaller than 2.6: we can see it just by looking at the digits from left to right.

now, where does 2\frac{4}{5} stand?

 its fraction part is equal to

\frac{4*2}{5*2}=  \frac{8}{10}

do that means that 2\frac{4}{5}=2.8

which is bigger than 2.6

so the final order is

2.3 2.6 2\frac{4}{5}




5 0
3 years ago
In the united states, the five great lakes cover an area of 94,710 square miles. The smallest of the great lakes, lake ontario,
tankabanditka [31]

Solution: We are given:

The area covered by five great lakes in United States =94,710 square miles.

The area covered by the smallest of the great lakes, Lake Ontario =7,540 square miles.

The fraction of the area of Ontario lake to the total area of all the great lakes is:

\frac{7,540}{94,710}

\frac{754}{9471}

Therefore, the simplest form of fraction is \frac{754}{9471}

\frac{754}{9471}=0.08


8 0
3 years ago
Find the length of the unknown leg.<br> 29<br> 20<br> b<br> The measure of b is
Afina-wow [57]

Answer:

29 square = 20 square+ b square

b= 21

8 0
2 years ago
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