PATTERNS IN MULTIPLYING BY 3’S
Multiples of 3 have a pattern of 3, 6, 9, 2,5, 8, 1, 4 in the ones place
The digits in the multiple of 3 add up to give a multiple of 3 (12=1+2=3,18=1+8=9)
All even multiples of 3 are also a multiple of 6
[tex]\begin{gathered} 3\times2=6,6\times1=6 \\ 3\times4=12,6\times2=12 \\ 3\times6=18,6\times3=18 \\ 3\times8=24,6\times4=24 \end{gathered}[/tex]
PATTERNS IN MULTIPLYING BY 6’S
Multiples of 6 have a pattern of 6, 2, 8, 4, 0 in the ones place.
When a multiple of 2 and 3 overlap, you get a multiple of 6.
All multiples of 6 are even numbers.(6,12,18,24)
All multiples of 6 are 6 away from each other.
Multiples of 6 are every other multiple of 3.
The upper value on the multiplication table is multiplied by two to get the multiples of 6 below
[tex]\begin{gathered} 3\times2=6,(3\times2)\times1=6\times1=6 \\ 3\times4=12,(3\times2)\times2=6\times2=12 \\ 3\times6=18,(3\times2)\times3=6\times3=18 \\ 3\times8=24,(3\times2)\times4=6\times4=24 \end{gathered}[/tex]
The general formula for the multiples of 3 is given below as
[tex]3+3(n-1)[/tex]
To get for the multiple of 6, we will multiply the formula above by 2
[tex]\begin{gathered} 2(3+3(n-1)) \\ =6+6(n-1) \end{gathered}[/tex]
