Question

For each Arithmetic sequence identify the next 3 terms of the sequence 5, 7.5,.....

Answer 1

10, 12.5 and 15.

Step-by-step explanation:

First, we determine the term which was added to 5.

`\begin{gathered} 5+x=7.5 \\ x=7.5-5 \\ x=2.5 \end{gathered}`

Therefore, the term that was added to 5 to get 7.5 is 2.5.

Next:

`\begin{gathered} 7.5+2.5=10 \\ 10+2.5=12.5 \\ 12.5+2.5=15 \end{gathered}`

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

10, 12.5 and 15.