Answer:
Recursive formula for geometric sequence

is 
and explicit formula for geometric sequence
is

Step-by-step explanation:
Given sequence is 
To find the recursive and explicit formula for this sequence:
Let 
To find the common ratio r:




Therefore r=6



Therefore r=6
Therefore the common ration r=6
Therefore the given sequence is geometric sequence
Recursive formula for geometric sequence is 

and explicit formula is 



Therefore 
Answer:
67
Step-by-step explanation:
Remark
Interesting way to teach this problem. I'll see if I can make a table that answers the question as it is presented.
Now all you need do is collect the nine terms from the table and put the like ones together if there are any.
The event space of getting exactly one tail is {HT, TH}
The sample space is {HH, HT, TH, TT}
There are two ways to get exactly one tail, out of 4 total possible outcomes.
So 2/4 = 1/2 is the answer