31. SQUARES OF NUMBERS
& FEW PATTERNS
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12 1   112 121   212 441
22 4   122 144   222 484
32 9   132 169   232 529
42 16   142 196   242 576
52 25   152 225   252 625
62 36   162 256   262 676
72 49   172 289   272 729
82 64   182 324   282 784
92 81   192 361   292 841
102 100   202 400   302 900

You may try and memorise as many squares as possible from the above list!

There are interesting patterns, if you observe carefully.

1) 92 and 102 differ by (9+10).
Consecutive squares differ by the sum of their bases.
This pattern is true for all consecutive squares.
Using this 192, 212, 292, 312, 392 ... can easily be calculated.

2) 625 is trapped between 576 and 676.

3) 132 is 1, double 3, square 3.

You may find your own!