Question

Write the next two integers in each of the following sequences:

$-3,-8,-13,-18............$

Answer 1

Step 1: Taking the difference of the consecutive numbers

$$\begin{gathered} -8-(-3)=-8+3=-5 \\ -13-(-8)=-13+8=-5 \end{gathered}$$

From the sequence, it is clear that the numbers are decreasing by $5$

Step 2: Finding the next consecutive numbers.

So, the next numbers are

$$\begin{gathered} -18-5=-23 \\ -23-5=-28 \end{gathered}$$

Hence, the sequence is $-3,-8,-13,-18,-23,-28$