91Ó°ÊÓ

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

Inductive reasoning is conclusions based on several past observations.

While looking for a pattern in the sequence $18,\text{ }15,\text{ }12,\text{ }9,\text{ }\mathrm{....}$reason inductively that is., we can conclude based on past observations

$\begin{array}{l}18−15=3\\ 15−12=3\\ 12−9=3\end{array}$

So, the pattern of the sequence is that the next term is 3 less than the current term.

Since, the pattern of the sequence is that the next term is 3 less than the current term So, the next two term of the sequence will be, $9−3=6$and $6−3=3$

Therefore, the sequence will be $18,\text{ }15,\text{ }12,\text{ }9,\text{ }\underset{¯}{6},\text{ }\underset{¯}{3},\text{ }\mathrm{...}$.

Therefore, sequence with next two numbers is $18,\text{ }15,\text{ }12,\text{ }9,\text{ }\underset{¯}{6},\text{ }\underset{¯}{3},\text{ }\mathrm{...}$.