Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
 =
 =  - 4 with a₁ = 2
 - 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
 = a₁ + (n - 1)d
 = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
 = 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
 = 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
 
        
             
        
        
        
Answer: I believe its Option 2
Step-by-step explanation: Sory if im wrong
 
        
                    
             
        
        
        
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Answer:
x=13
Step-by-step explanation:
Q is the midpoint of PR
PQ + QR = PR
PQ= QR
PQ+QR = PR
QF + QR = PR
2QR = PR
2*43 = 9x-31
86 = 9x-31
Add 31 to each side
86+31 = 9x-31+31
117 = 9x
Divide each side by 9
117/9 = 9x/9
13 =x
 
        
                    
             
        
        
        
To make it easier to divide, turn the fraction 201/5 into decimal form which would be 40.2.
After that you can divide 74.94/40.2 and it should give you $1.86 per gallon.