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3 years ago

3. For the following geometric sequence, determine a1 and r and find an explicit formula for the sequence: 2, -6, 18, -54…

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

Step-by-step explanation:

a1 is the first term. In this case, 2.

r is the common ratio. Each term is multiplied by -3 to get the next term, so r = -3.

an = 2 (-3)ⁿ⁻¹

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Write an equation for the polynomial graphed below

Anit [1.1K]

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

<h3>How to factor the polynomial?</h3>

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

Read more about polynomials at:

brainly.com/question/4142886

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1 year ago

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16

Alex Ar [27]

4x+2y<=16
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4 0 12
3 1 11
3 2 13
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1 4 11
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2 years ago

I need to turn this in in 2 hours please hurry

Nuetrik [128]

Answer:

2) 162°, 72°, 108°

3) 144°, 54°, 126°

Step-by-step explanation:

1) Multiply the equation by 2sin(θ) to get an equation that looks like ...

sin(θ) = <some numerical expression>

Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)

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2, 3) You need to review the meaning of "supplement".

It is true that ...

sin(θ) = sin(θ+360°),

but it is also true that ...

sin(θ) = sin(180°-θ) . . . . the supplement of the angle

This latter relation is the one applicable to this question.

Similarly, it is true that ...

cos(θ) = -cos(θ+180°),

but it is also true that ...

cos(θ) = -cos(180°-θ) . . . . the supplement of the angle

As above, it is this latter relation that applies to problems 2 and 3.