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:
36-2n<1/3n+15
Step-by-step explanation:
There are multiple solutions. One solution is 30. Because 30 times 2 is 60 and 36-60 is less than 1/3 of 30 (10) plus 15.
 
        
             
        
        
        
The answer would be 39.84
        
                    
             
        
        
        
Answer:
Parallel means they have the same slope so, y=3x-8