Need help doing this questions, all help is appreciated thanks.
1 answer:
Answer:
The answer to your question is the third option
Step-by-step explanation:
To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.
Data
A (2,2)
B (3,6)
C(0,5)
D(1,9)
Formula
slope =
Process
1.- Calculate the slope of line 1
slope 1 =
slope 1 =
slope 1 = 4
2.- Calculate slope 2
slope 2 =
slope 2 =
slope 2 = 4
3.- Compare the slope
slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.
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The rule for the sequence is S(n) = 2S(n-1) - S(n-2)
Alternative form: S(n) = S(n-1) + 3
Step-by-step explanation:
In this problem, we know the first two terms of the sequence:
S(1) = 2
S(2) = 5
We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:
S(n) the current term
S(n-1) the previous term
S(n-2) the term before the previous term
This statement translates into the following sequence:
S(n) = 2S(n-1) - S(n-2)
Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).
We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):
We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as
S(n) = S(n-1) + 3
Learn more about sequences:
#LearnwithBrainly