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svp [43]
2 years ago
6

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

Mathematics
1 answer:
KiRa [710]2 years ago
4 0

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19

The difference is constant.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitute:

a_1=19,\ d=-19

a_n=19+(n-1)(-19)             <em>use distributive property</em>

a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n

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Which equation represents the line that passes through the points (2, 4) and (1, -3)?
zhannawk [14.2K]

Answer:

y = 7x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-4}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

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3 years ago
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Answer:

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