First pattern
The number of squares in the first term is 3
The second term is 5
The third term is 7
So this pattern increased by 2
The rule of any pattern increased by a constant number is
y = a + (x-1)d, where
a is the first term
d is the constant difference
x is the position of the term
So a = 3
and d = 2
The equation is
y = 3 + (x - 1)2
Multiply 2 by the bracket
y = 3 + 2x - 2
Add the like terms
y = 2x + 1
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