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    A whole number is said to be a square if it is equal to some whole number multiplied by itself. The following are square numbers: 25 (5 X 5) and 144 (12 X 12). How would you place the numbers 1 to 15 next to each other (without repeating any of them) in such a way that the sum of the numbers in any two consecutive space is always a square?

    Question #23813. Asked by Domonic. (Nov 02 02 4:48 PM)


    Bryce

    9,7,2,14,11,5,4,12,13,3,6,10,15,1,8.

    Nov 03 02, 4:37 AM


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    Other Similar Questions & Answers


    In mathematics, when working in the real number system, why do positive numbers have two square roots, but only one cube root? Hint: it has to do with imaginary numbers.

    Take any positive whole number not greater than 50. If the number is even, divide it by two. If the number is odd, multiply it by 3, and add 1 to the result. Apply the same method to the resulting number, and continue in this way forming a chain of numbers untill you finally arrive at the number 1.Shown below is a chain of numbers that results from this method if you begin with 15: 15 - 46 - 23 - 70 - 35 - 106 - 53 - 160 - 80 - 40 - 20 - 10 - 5 - 16 - 8 - 4 - 2 - 1. As you can see, the number 15 requires 17 steps to end up at 1. Of the numbers not greater then 50, which takes the longest to reach the number 1?

    What is the lowest number that is: (a) the sum of five consecutive numbers, and also (b) the sum of two consecutive odd numbers and also (c) the sum of three consecutive even numbers ?

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