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3 years ago

What is the 52nd term of the sequence below? -108, -90, -72, -54,...?

Mathematics

1 answer:

maks197457 [2]3 years ago

7 0

-108 + ( 52 - 1 )18
-108 + 51*18
-108 + 918 = 810

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I believe you have to do a cross product formula.

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3 years ago

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I don't know how to solve it.

Nataly [62]

Step-by-step explanation:

Take the first derivative

$\frac{d}{dx} ( {x}^{3} - 3x)$

$3 {x}^{2} - 3$

Set the derivative equal to 0.

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$3 {x}^{2} = 3$

${x}^{2} = 1$

$x = 1$

$x = - 1$

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

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Since we are going to Positve to negative slope, we have a local max at x=-1

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$( - 1) {}^{3} - 3( - 1) = 2$

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

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8 0

1 year ago

10m^2 of tiles cover a pool, the pool is shaped as a square, so all four edges are the same, and the depth is constant but not e

nignag [31]

Assume:

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Therefore, surface area = x^2+4xy =10 m^2

Then, y = (10-x^2)/(4x)

Now,
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For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
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1/4(10-3x^2) = 0
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x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m

Therefore,
V= 1.826^2*0.913 = 3.044 m^3

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3 years ago

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viva [34]

Answer: The answer is given below

Step-by-step explanation:

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Let the number of games James has be represented by g.

Since Samuel has 4 times as many games as James, then Samuel's game will be:

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The expression for James is g.

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2 years ago

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yaroslaw [1]

The answer is 20 because all 4 sides would equal 5

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