liLan9g7meboomolino
contestada

How must one place the integers from 1 to 15 in each of the spaces below in such a way that no number is repeated and the sum of the numbers in ANY TWO consecutive spaces is a perfect square?
Note: the sum can repeat,like u can have the sum as 9 as many times as u want.

Respuesta :

apologiabiology
perfect squares are
1,4,9,16,25,36
obviously cannot add to 1 or 36
4,9,16,25 are the sums to add up 2

ok so
8,1,15,10,6,3,13,12,4,5,11,14,2,7,9
after lots of trial and error
meerkat18
The perfect squares 1, 4, 9, 16, and 25 are possible in this problem since the biggest numbers which are 14 and 15 add up to 29 only.

A possible sequence would be,
9 - 7 - 2 - 14 - 11 - 5 - 4 - 12 - 13 - 3 - 6 - 10 - 15 - 1 - 8

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