HOW To Recite Perfect squares Without Memorizing?-Part 2

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This Theory then,maybe,much easier.

The pattern is using the theory on n².

The n²=(n-1)²+(2n-1)

But the latter wasn't need to memorize...

Observe

0²=0   +1

1²=1   +3

2²=4   +5

3²=9

By adding the series of odd numbers from the last n² the result is the new n².

Like this one..

0+0=0   [N/A:0 is a special number]

0+1=1

1+3=4

4+5=9

9+7=16

16+9=25

and so on..

the number that underlined are the n²

While bold number are the odd numbers that was have a pattern....

0,1,3,5,7,9,11,13,15,17,19,21,23.....

BLANK

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