Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
Answer:
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Step-by-step explanation:
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Hey there! :)
(0, 2) & (-1, -2)
Slope-intercept form is : y=mx+b , where m=slope, b=y-intercept
First, we must find the slope using the slope formula, which is :
m = y2-y1/x2-x1
Where y2 = -2 ; y1 = 2 ; x2 = -1 ; x1 = 0
Now, let's plug and chug! :)
m = (-2 - 2) / (-1 - 0)
Simplify.
m = -4/-1 --> Therefore, our slope is : m = 4
Now that we have the slope, we can plug this (and our original coordinates) into point-slope form, which is : y - y1 = m(x - x1) -> use the coordinates (0, 2)
y - 2 = 4(x - 0)
Simplify.
y - 2 = 4x
Add 2 to both sides.
<u>y = 4x + 2</u>
Hope this helped! :)
Answer:
Step-by-step explanation:
Scale factor is 1:5
create a proportion: 1/5 = x/1450
cross multiply: 5x = 1450
divide both sides by 5
x = 280 blocks
$65.40 multiplied by .15 is equal to $9.81
$65.40 + $9.81 = $75.21