Question

Give one feature of the number pattern 3, 6, 9, 12, … and explain why this occurs. Give one feature of the number pattern 48, 24, 12, 6, … and explain why this occurs. Give one feature of the number pattern 72, 62, 52, 42, … and explain why this occurs.

Answer 1

1. has a common factor of 2

2. has a common dividend of 2

3. has a common difference of -10

Number patterns 1 and 2 are geometric sequences so that is why they contain a common factor or dividend

Number pattern 3 is an arithmetic sequence which is why it has a common difference (substracting instead of multiplying or dividing like the first two)

Hope this helps!