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Alekssandra [29.7K]
3 years ago
5

Find the 8th term in the sequence 4, -24, 144, -864,

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
You just multiply each -6 as you pass by each.
4 x -6 = -24
-24 x -6 = 144 (multiplying two negative numbers equal a positive product) 
144 x -6 = -864
-864 x -6 = 5,184
5,184 x -6 = 31,104
31,104 x -6 = -186,624
-186,624 x -6 = 1,119,744
1,119,744 x -6 = -6,718,464

The 8th term in the sequence is -6,718,464

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hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and
Mariulka [41]

Given:

The equation is,

2\log _3x-\log _3(x-2)=2

Explanation:

Simplify the equation by using logarthimic property.

\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{      \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}

Simplify further.

\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}

Solve the quadratic equation for x.

\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

\begin{gathered} x-6=0 \\ x=6 \end{gathered}

For (x - 3) = 0,

\begin{gathered} x-3=0 \\ x=3 \end{gathered}

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0
1 year ago
Solve for u in terms of s, t, and v. <br> t = u + s + v
harina [27]

Answer:

t = u + s + v \\  \boxed{u = t - s - v}

  • <u>u = t-s-v</u> is the right answer.
7 0
2 years ago
Use the expression to answer the following questions. 5m – 8n + 2p – 12
Kobotan [32]

Answer:

12 is the constant

8 is the coefficient of the 2nd term

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The terms are: 5m, 8n, 2p, and 12



7 0
3 years ago
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B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD?
mafiozo [28]

Answer:

AD = 85

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

4 0
3 years ago
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