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3 years ago

Find the 6th term of the following geometric sequence: 2, 8, 32, 128, ...

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

8 0

Answer: 2048

Step-by-step explanation: u have to multiply each term by 4

Nadusha1986 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

t1 = 2= 2 * 4 ^ 1 -1

t2 = 8= 2* 4^2-1

t3 = 32= 2 * 4^3 -1

t4 = 128 = 2* 4^ 4 -1

----------------------------

tn = 2 * 4^ (n - 1)

Now

the 6th term of the sequence is

t6 = 2 * 4^ 6 -1

= 2 * 1024

= 2048

hope it was helpful.

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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3 years ago

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Irina-Kira [14]

Answer:

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Step-by-step explanation:

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3 years ago

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bulgar [2K]

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3 years ago

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12?

olga2289 [7]

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

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2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate h

KiRa [710]

Answer:

Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

Let $\mu$ = mean area of several apartments.

So, Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Here, null hypothesis states that the mean area of apartments are same as advertised.

On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

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3 years ago