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3 years ago

Solve the equation for all values of x. Not really sure how to do this? cos x = 3*cos x - 2

1 answer:

5 0

$\bf cos(x)=3cos(x)-2\implies 0=3cos(x)-2-cos(x)
\\\\\\
0=2cos(x)-2\implies 2=2cos(x)\implies \cfrac{2}{2}=cos(x)\implies 1=cos(x)
\\\\\\
cos^{-1}(1)=\measuredangle x\implies \measuredangle x=
\begin{cases}
0\\
2\pi 
\end{cases}$

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Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

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Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

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Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

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Solve the system of linear equations by substitution

ziro4ka [17]

$y - x = 0 ...equation 1$
$2x - 5y = 9 \: ...equation \: 2$
working with equation 1
$y = x \: ...equation \: 3$
next subsitue equation 3 in equation 1
$2x - 5(x) = 9$
$2x - 5x = 9$
$- 3x = 9$
divide by -3
$x = - 3$
substitute x= -3 in equation 1
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