Answer:
an=3+an-1
2, 5, 14, 41, 122..
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given expression is:
[tex]a_{n}=3 a_{n-1}[/tex]
To find the right sequence, we have to find the value for [tex]n=1[/tex], [tex]n=2[/tex], [tex]n=3[/tex], [tex]n=4[/tex] and [tex]n=5[/tex], which are presented in the following operations, also we know that the first term is 2, we can begin from there:
[tex]a_{1}=2\\a_{2}=3(2)=6\\ a_{3}=3(6)=18\\ a_{4}=3(18)=54\\ a_{5}=3(54)=162[/tex]
As you can see, the given expression represents a sequence where the next term is the triple than the term before.
As a result, we found the sequence 2, 6, 18, 54, 162...
Therefore the right answer is the last choice.
