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Phoenix [80]
3 years ago
5

An arithmetic sequence is shown below.

Mathematics
2 answers:
Elena L [17]3 years ago
7 0

Answer:

B. a (n) = -3n + 13

Step-by-step explanation:

Given arithmetic sequence is: 10, 7, 4, 1, -2, ...

Here a = 10, d = 7 - 10 = - 3

a_n = a + (n - 1)d \\  \\ a_n = 10+ (n - 1)( - 3) \\  \\  a_n = 10 - 3n  + 3 \\  \\  \purple{ \bold{a_n =   - 3n  +1 3 }}\\  \\

xz_007 [3.2K]3 years ago
3 0
The answer is in the picture it shows the steps and how you got the answer.
The answer is B.

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Which equation represents a linear function?
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The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer

Step-by-step explanation:

A linear function is any function that graphs to a straight line

(not a vertical line)

The forms of the linear equation are

  • y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
  • y-y_{1}=m(x-x_{1}), where m is the slope and (x_{1},y_{1}) is a point lies on the line which represent the function ⇒ slope-point form
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Linear function means the greatest power x and y in the equation of the function is 1

∵ The equation is y - 2 = -5(x - 2)

∵ The greatest power of x and y is 1

∵ The equation is in the form of y-y_{1}=m(x-x_{1}), where

   m = -5 and the coordinates of the point are (2 , 2)

∴ The equation represents a linear function

The equation y - 2 = -5(x - 2) represents a linear function

Learn more:

You can learn more about the linear function in brainly.com/question/4326955

#LearnwithBrainly

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3 years ago
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Step-by-step explanation:

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