Question

State if the sequence is arithmetic or geometric. Then find the next term in each sequence. -3, 27, 57, 87, 117,…

Answer 1

The given sequence is

`-3,27,57,87,117`

Let us find the difference between each 2 consecutive terms

`\begin{gathered} 27-(-3)=27+3=30 \\ 57-27=30 \\ 87-57=30 \\ 117-87=30 \end{gathered}`

Since the difference is constant, then

The sequence is arithmetic with a common difference of 30

Then to find the next term we will add 30 to 117

`117+30=147`

The next term is 147