Question

Which sequence is generated by the rule 6-2n where n represents the position of a term in the sequence.8, 10, 12, 14, 16, ...4, 2, 0, -2, -4, ...6, 8, 10, 12, 14, ...4, 10, 16, 22, 28, ...

Answer 1

Let's take a look at the first four terms in the sequence:

`\begin{gathered} n=1 \\ \Rightarrow6-2(1)=6-2=4 \\ n=2 \\ \Rightarrow6-2(2)=6-4=2 \\ n=3 \\ \Rightarrow6-2(3)=6-6=0 \\ n=4 \\ \Rightarrow6-2(4)=6-8=-2 \end{gathered}`

As we can see, the sequence goes backwards with a difference of two, therefore, the sequence generated by the rule 6-2n is 4,2,0,-2,-4...