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sergiy2304 [10]
3 years ago
5

Find the explicit formula for the arithmetic sequence -2,-14,-26,-38

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

\large\boxed{a_n=10-12n}

Step-by-step explanation:

It's an arithmetic sequence.

-14-(-2)=-14+2=-12\\-26-(-14)=-26+14=-12\\-38-(-26)=-38+26=-12

The difference is constant.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitute:

a_1=-2,\ d=-12

a_n=-2+(n-1)(-12)        <em>use distributive property</em>

a_n=-2-12n+12\\\\a_n=(-2+12)-12n\\\\a_n=10-12n

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1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

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The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

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To find b, substitute x and y for one of the given coordinate pairs:

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Substitute the b value into the equation to finish the line:

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GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
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Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
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/5     /5
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5x + 2 = 8x - 7
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Side 1: 5x + 2
            5(3) + 2
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3 years ago
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3 years ago
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