[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
In the first sequence,
let's take ratio of the next term with its preceding term, so we will get the common ratio ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} [/tex]
So, we can imply that The next term of the sequence is 1/4 times the previous term.
hence, the unknown term will be 1/4 times of previous term.
Therefore, the next term here is 1
In the second sequence,
Do the same procedure as above, we will get common ratio as :
[tex]\qquad \sf \dashrightarrow \: \cfrac{18}{6} = 3[/tex]
So, the next term is 3 times the preceding term, that is :
Therefore, the next term is 162
