Question

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

$13,10,7,4,............$

Answer 1

Step 1: Taking the difference of the consecutive numbers

$$\begin{gathered} 10-13=-3 \\ 7-10=-3 \end{gathered}$$

From the sequence, it is clear that the numbers are decreasing by $3$

Step 2: Finding the next consecutive numbers.

So, the next numbers are

$$\begin{gathered} 4-3=1 \\ 1-3=-2 \end{gathered}$$

Hence, the sequence is $13,10,7,4,1,-2$