☰
Home
Traveling Toes ★Big Numbers ★Boys and Girls ★Cable Curve ★Square Sequence ★★ Train Trouble ★★ Charlie's Chickens ★★ Rowing Across the River ★★ Sneaking Spider ★★ Buying Bitterballs ★★ Speedy Sums ★★ Traveling Bird ★★ Cork in the Canal ★★ Square and Rectangle ★★ Two Trains ★★Fint the Fault ★★Three Taps ★★Notable Number ★★Baffling Birthdays ★★William's Whereabouts ★★The Prince and the Pearls ★★Plus & Minus ★★Missing Pages ★★Postman Pat ★★All Apples ★★Camel & Bananas ★★Buying Books ★★Four Flies ★★Fabulous Fraction ★★Circling Cyclist ★★Odd Oranges ★★The Cucumber Case ★★Palindrome Puzzle ★★Escalator Exercise ★★
List of All PuzzlesAbout this SiteSend an E-mailPrivacy Policy

Solution to: Square Sequence

We first look with which numbers each number can form a pair of which the sum is a square:

Number:12345678910111213141516
Square pairs:1 + 3
1 + 8
1 + 15		2 + 7
2 + 14		3 + 1
3 + 6
3 + 13		4 + 5
4 + 12		5 + 4
5 + 11		6 + 3
6 + 10		7 + 2
7 + 9		8 + 19 + 7
9 + 16		10 + 6
10 + 15		11 + 5
11 + 14		12 + 4
12 + 13		13 + 3
13 + 12		14 + 2
14 + 11		15 + 1
15 + 10		16 + 9

As can be seen, there are two numbers that can form a pair in only one way: 8 and 16. Therefore, these two numbers need to be at the start or at the end of the sequence. If we start with the number 16, the sequence follows almost automatically: 16 9 7 2 14 11 5 4 12 13 3 6 10 15 1 8. Of course, the reverse sequence is also a possible solution.


Back to the puzzle
×
OK