Question

What would the next 2 terms be: 1.5, 0.75, 0, -0.75

Answer 1

The formula for an arithmetic sequence is given as;

`\text{nth}=a+(n-1)d`

The 5th term would be;

`\begin{gathered} 5th=1.5+(5-1)(-0.75) \\ 5th=1.5+(4)(-0.75) \\ 5th=1.5-3 \\ 5th=-1.5 \end{gathered}`

The 6th term would be;

`\begin{gathered} 6th=1.5+(6-1)(-0.75) \\ 6th=1.5+(5)(-0.75) \\ 6th=1.5-3.75 \\ 6th=-2.25 \end{gathered}`