Question 1

Explanation

Observe the pattern of the following number series.

The pattern formed is as follows.

1. $3 \xrightarrow{+3} 6$
2. $6 \xrightarrow{\times 3} 18$
3. $18 \xrightarrow{-3} 15$
4. $15 \xrightarrow{+3} m$
5. $m \xrightarrow{\times 3} 54$
6. $54 \xrightarrow{-3} 51$
7. $51 \xrightarrow{+3} 54$
8. $54 \xrightarrow{\times 3} 162$

It can be seen that the operation pattern repeats: $+3, \;\times 3, \; -3$.

To determine the value of $m$, we continue the pattern after $15$, which is adding $3$.

We can verify the value of $m$ with the next step (multiplying by $3$).

Thus, the value of $m$ is $18$.