Patterns can be defined as the sequence or arrangements which numbers follow.
The number of small squares that are in Step 10 is 110 small squares.
From the question,
Step one : • • = 1(2) small squares
Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares
• • •
Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares
• • • •
• • • •
Let the number of steps we are to find be represented by = s
Hence, from the above pattern, the formula is given as:
Number of small squares = n x (1 + n)
Therefore, using the formula from the pattern, the number of small squares that are in Step 10 is calculated as:
10 x (1 + 10)
= 10 x 11
= 110 small squares.
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