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3 years ago

What is the common difference of an arithmetic sequence defined by the formula an=2n−4?

Mathematics

2 answers:

Ainat [17]3 years ago

5 0

Answer:

d = 2

Step-by-step explanation:

Generate the first few terms

a₁ = (2 × 1) - 4 = 2 - 4 = -2

a₂ = (2 × 2) - 4 = 4 - 4 = 0

a₃ = (2 × 3) - 4 = 6 - 4 = 2

a₄ = (2 × 4) - 4 = 8 - 4 = 4

d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2

allsm [11]3 years ago

5 0

Answer:

Common difference = 2.

Step-by-step explanation:

The general formula for an arithmetic sequence is

an = a1 + d(n-1) where d = the common difference. This can be rearranged to:

an = dn - d + a1

So comparing:

an = 2n - 4 with the above we see that d = 2.

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Find the area of an octagon whose perimeter is 120 cm.

stira [4]

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 $cm^{2}$

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

$P=8a$

and the area of an Octagon is given by

$A=2a^{2}(1+\sqrt{2})$

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

$120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15$

Now, we calculate the area

$A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}$

5 0

3 years ago

I really need help with this its past due

zloy xaker [14]

Sorry but grade math is this so I can have a better understanding

7 0

2 years ago

MATH Simplify the expression -6w + (-8) + 1 + (-7w)

Luba_88 [7]

Answer: -13w - 7

Step-by-step explanation:

-6w + (-8) + 1 + (-7w)

Combine the like terms

-8 + 1 = -7

-6w + (-7) + (-7w)

-6w + (-7w) = -13w

-13w + (-7)

However, because adding a negative number is the same as subtracting the number as a positive, you can just make it -13w - 7

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2 years ago

In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of

Alex Ar [27]

Answer:

The middle half of the video game data has a range that is 43 minutes wide.

Step-by-step explanation:

Thats the answer on Edguinity I took the Quiz.

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2 years ago

A cylinder has volume 63 cm3. What is the volume of a cone with the same radius and height?

aev [14]

it's answer is

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7 0

3 years ago