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3 years ago

The first four terms of an arithmetic sequence are -11,-5,1,7. what is the equation for an

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

y = 6x - 11

Step-by-step explanation:

An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.

-11 + 6 = -5

-5 + 6 = 1

1 + 6 = 7

etc....

Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.

y = 6x - 11

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3 years ago

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sleet_krkn [62]

Answer:

y > -x -3

Step-by-step explanation:

The graph is shaded <em>above</em> the <em>dashed</em> line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...

y >

The y-intercept of the line is (0, -3), so the "b" value in ...

y > mx +b

will be -3.

The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...

m = rise/run = -3/3 = -1

Then the inequality you want is ...

y > -x -3

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