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3 years ago

What is the formula for the following arithmetic sequence?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

3 0

an = 6 + 12( n - 1) is the answer

belka [17]3 years ago

3 0

Answer:

Correct answer: First answer - aₙ = 12 + (-6)(n - 1)

Step-by-step explanation:

Given: arithmetic sequence 12, 6 , 0 , -6, ......

First term a₁ = 12

Second term a₂ = 6

Third term a₃ = 0

we will get the difference

d = a₂ - a₁ = a₃ - a₂ = 6 - 12 = 0 - 6 = - 6

d = - 6

a₂ = a₁ + d

a₃ = a₂ + d = a₁ + 2 d

a₄ = a₃ + d = a₁ + 3 d

......................................

aₙ = a₁ + (n -1) d

aₙ = 12 + (n -1) (-6) = 12 + (-6) (n -1)

aₙ = 12 + (-6) (n -1)

God is with you!!!

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Step-by-step explanation:

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Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.

katovenus [111]

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!

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