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bagirrra123 [75]
3 years ago
11

What is the common ratio and explicit formula for -2,6,-18,54?

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

=\frac{6}{-2}

=-3

Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

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\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}

Step-by-step explanation:

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Solve this equation for x: x^2+11x+28=0
lord [1]

Answer: x = -7 or x = -4

Step-by-step explanation: When an equation has a squared term in it

such as x² + 11x + 28 = 0, it's called a polynomial equation.

The rule for solving a polynomial equation

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Since this equation is already set equal to zero,

our first step is to factor the left side of the equation.

To factor x² + 11x + 28, we need the factors

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So we have (x + 7)(x + 4) = 0.

Whenever two terms are multiplied together to equal zero,

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So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.

Solving each equation from here, we get x = -7 or x = -4.

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3 years ago
What is -1/2(-4/5) multiplied then in simplest form?
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-1/2(-4/5)

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That is:
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Hope this helped.
8 0
3 years ago
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