152906

Solutions 📃
1 a) 40, 48, 56
We counted the squares one by one and got the ^ numbers.
b) 8n
We did:
8 16 24 32
_ _ _
8 8 8
The first different is 8, which implies the fact that it is a linear equation. They are all multiples of 8, so it's 8n.
c) Each pattern: 8, 24, 49, 81
We counted the squares all one by one.
d) (8n-1) + (2n-1)^2
I realized the relationship and summoned the equation. I tested the solution and it was correct.
2) a) 8, 14, 20, etc.
I counted the squares one by one.
b) 6n + 2
I realized they were multiples of six but they add 2.
c) 8, 18, 32, 50
I counted.
d) 2(n+1)^2
If you split them up into multiples of two you'll realize that they are 2x the square sequences.