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3 years ago

Find an equation for the nth term of the arithmetic sequence.

Mathematics

1 answer:

babymother [125]3 years ago

7 0

Answer:

The common difference would be calculated as:

(a21-a19)/2

(-164--(-58 ))/2 (Replacing the values )

(-164 +58)/2 (Changing signs)

(-106)/2(Subtracting)

-53

Then we are going to replace the common difference(d) in the sequence formal with the 21st term . It is done for finding the first term of the sequence.

a21=a0+d*(n-1)

-164=a0+-53*(21-1) (Replacing the values)

-164=a1-53(20) (Subtracting)

-164=a1-1060 (Multiplying )

-164+1060=a1 (Adding 1060 on both sides of the equation)

896=a1

The answer would be : an= 896-53*(n-1), which is the option B.

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Step-by-step explanation:

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Answer:

$1575

Step-by-step explanation:

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4 years ago

A cylinder has a volume of 216 pi cubic feet and a hi of 18 ft what is the area of the base? Cylinder v equals BH

VARVARA [1.3K]

Answer:

12π ft² or 37.7 ft²

Step-by-step explanation:

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3 years ago

How do I graph the linear equation y=-1/2x + 4

shtirl [24]

Answer:

The Two points for the line $y =\frac{-1}{2}x+4$ are

point A( x₁ , y₁) ≡ ( 0 , 4)

point B( x₂ , y₂) ≡ (8 , 0)

The Graph is attached below.

Step-by-step explanation:

Given:

$y =\frac{-1}{2}x+4$ ........... equation of a line Given

Let the points be point A, and point B

To Find:

point A( x₁ , y₁) ≡ ?

point B( x₂ , y₂) ≡ ?

Solution:

For Drawing a graph we require minimum two points but we will have here.

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

$y =\frac{-1}{2}0+4\\\\y=4$

∴ point A( x₁ , y₁) ≡ ( 0 , 4)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

$0 =\frac{-1}{2}x+4\\\\x=8$

∴ point B( x₂ , y₂) ≡ (8 , 0)

Therefore,

The points for the line $y =\frac{-1}{2}x+4$ are

point A( x₁ , y₁) ≡ ( 0 , 4) (blue color point on the graph)

point B( x₂ , y₂) ≡ (8 , 0) (green color point on the graph)

The Graph is attached below..

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3 years ago