Solutions
1hr = 60 min
180 ÷ 60 = 3
180 min = 3 hrs
For this case we have the following expression:
(x + 7) / (x ^ 2 - x - 2) = A / (x - 2) + B / (x + 1)
Rewriting we have:
(x + 7) / ((x-2) (x + 1)) = A / (x - 2) + B / (x + 1)
We multiply the equality by (x-2) (x + 1):
x + 7 = A (x + 1) + B (x - 2)
Rewriting we have the following system of equations:
A + B = 1
A - 2B = 7
Solving the system we have:
A = 3
B = -2
Answer:
constants A and B are:
A = 3
B = -2
The recursive formula of the sequence is aₙ = aₙ₋₁ - 30
<h3>How to determine the
recursive formula of the sequence?</h3>
From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30
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1. Distribute
and
2. (After distributing)
3. Now combine the like terms.
Answer:
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