Question

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

$-15,-10,-5,............$

Answer 1

Step 1: Taking the difference of the consecutive numbers

$$\begin{gathered} -10-\left(-15\right)=-10+15=5 \\ -5-(-10)=-5+10=5 \end{gathered}$$

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

Step 2: Finding the next consecutive numbers

So, the next numbers are

$$\begin{gathered} -5+5=0 \\ 0+5=5 \end{gathered}$$

Hence, the sequence is $-15,-10,-5,0,5$