Common ratio (r) can be found by dividing the second term by the first term.
0.02 / -0.1 = -0.2
an = a1 * r ^ (n - 1)
a1 = first term = -0.1
r = common ratio = -0.2
an = -0.1(-0.2)^(n - 1)...answer is C
An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is


is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so

<span>d=-2 because the question gives you that
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The answer is A. -9.
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<span>The answer is C. 158</span>
For the second one, it gives you

and <span>

You can use this to find d
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Now you can just solve using the equation normally.
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The answer is C. 158
Answer: 17.5 square yards
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Work Shown:
base = 5 yards
height = 7 yards
The base and height are always perpendicular to one another
area of triangle = 0.5*(base)*(height)
area of triangle = 0.5*(5)*(7)
area of triangle = 17.5 square yards
The other values aren't used. They're likely thrown in as a distraction.
3x - x + 8 + 5x - 2 = 10
combine like terms on the left, then add or subtract as asked
(3x - x + 5x) + (8 - 2) = 10
7x + 6 = 10
subtract 6 from both sides
7x = 4
divide both sides by 7
x = 4/7
Hope this helps! :)
Answer:Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:
y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5
To try to discard one of them, let us use the vertex, which is at x = -2.
With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.
Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.
Step-by-step explanation: