<h3>
Answer: 17</h3>
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Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
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To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
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Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
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You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
<h3>Quadratic Equation</h3>
Quadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
The given quadratic equation is 
Let's rearrange the equation
This implies that
The equation or formula of quadratic formula is given as
We can substitute the values into the equation and solve
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Learn more on quadratic equation here;
brainly.com/question/8649555
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Answer:
perpendicular
Step-by-step explanation:
Answer:
x = -2y + 12
Step-by-step explanation:
Let's solve for x.
x + 2y = 12
Step 1: Add -2y to both sides.
x + 2y + −2y = 12 + −2y
x = −2y + 12
Y-intercept= 5
Rate of change= 3
