Question

Give the next four terms of this arithmetic sequence:4, 7, 10, 13, ____, ____, ____, ____

Answer 1

`16,19,22,25`

Step-by-step explanation

The sequence given is an arithmetic sequence.

First, we have to find the common difference of the sequence by subtracting to successive terms in the sequence. That is:

`\begin{gathered} 7-4 \\ 3 \end{gathered}`

To get the next 4 terms, we add the common difference to the last term.

This means that the next term is:

`\begin{gathered} 13+3 \\ 16 \end{gathered}`

The next term is:

`\begin{gathered} 16+3 \\ 19 \end{gathered}`

The next term is:

`\begin{gathered} 19+3 \\ 22 \end{gathered}`

The final term is:

`\begin{gathered} 22+3 \\ 25 \end{gathered}`

Therefore, the next four terms of the arithmetic sequence are:

`16,19,22,25`