Answer:

Step-by-step explanation:
Given

Required
Write a recursive expression

When n = 1


When n = 2

 can be rewritten as
 can be rewritten as

Substitute 3 for f(1)

Express 1 as 2 - 1
 ----- (1)
 ----- (1)
When n = 3

 can be rewritten as
 can be rewritten as

Substitute 8 for f(2)

Express 2 as 3 - 1
 ------ (2)
  ------ (2)
Write out (1) and (2)


Replace 2 and 3 with n in both cases; This gives

Hence;
The recursive is 
 
        
             
        
        
        
Answer:
1.28 ÷ 4 = 0.32
But the "models" make little or no sense.  I can see the three bars and two dots representing the digits 3 and 2, but that is the only image I see, repeated three times.  It also shows no reference to the decimal place, so I would say there is no real representation of it all.
 
        
             
        
        
        
B. Compare independent variables
        
             
        
        
        
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive terms
r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = 
This indicates the sequence is geometric with nth term ( explicit formula )
f(n) = a₁
where a₁ is the first term and r the common ratio
Here a₁ = 16 and r =  , then
 , then
f(n) = 16  → C
 → C
 
        
             
        
        
        
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