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3 years ago

The first three terms of a geometric sequence are shown below.

1 answer:

8 0

$a_1=x+3\\\\a_2=-2x^2-6x=-2x(x+3)\\\\a_3=4x^3+12x^2=-2x(-2x^2-6x)=-2x[-2x(x+3)]\\\vdots\\\text{The general term of geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=x+3,\ r=-2x\\\\\text{Substitute}\\\\a_n=(x+3)(-2x)^{n-1}\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=(x+3)(-2x)^{8-1}=(x+3)(-2x)^7=(x+3)(-128x^7)\\\\\text{use distributive property}\\\\a_8=(x)(-128x^7)+(3)(-128x^7)\\\\\boxed{a_8=-128x^8-384x^7}$

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223x12 please tell me I'm in my last question and dieing.

svlad2 [7]

Answer:

2,676

Step-by-step explanation:

2,676=223x12

7 0

2 years ago

This is asking “identity whether each of the following is a linear function” please ignore the quality tho. The question numbers

Svetlanka [38]

Answer:

4. Yes 5.No 6. No

Step-by-step explanation:

To be short,a linear equation has a coefficient of only 1 degree.

If the degree is over 1 it isn't a linear equation.

4 is the linear equation since it x value 7x has a degree of 1.

5 isn't becuase it's x value has a degree of 5

6 isn't becuase it degree is 4.

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2 years ago

Solve this expression 8÷2*5+(6-4)

Annette [7]

Value of expression $\frac{8}{2}(5) + (6-4)$ is 22 .

<u>Step-by-step explanation:</u>

Here we have the following expression to solve :

8÷2*5+(6-4)

⇒ $(8/2)*5 + (6-4)$

⇒ $\frac{8}{2}(5) + (6-4)$

But 8 = 4(2) , So

⇒ $\frac{4(2)}{2}(5) + (6-4)$

⇒ $4(5) + (6-4)$

⇒ $20 + (6-4)$

⇒ $20 + 2$

⇒ $22$

Therefore, Value of expression $\frac{8}{2}(5) + (6-4)$ is 22 .

6 0

3 years ago

She learns that the fabric she wants to use is $7.99 per yard. Find the total cost of 4 yards of fabric. Justify your answer by

sattari [20]

Answer:

$31.96

Step-by-step explanation: multiply without the decimal, the put it in once multiplied

799 * 4 = 3196

then put in the decimal... 31.96

8 0

3 years ago

Help please ..........

olganol [36]

Answer:

7. combination; 25C6 = 177100

8. combination; 15C5 = 3003

Step-by-step explanation:

7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.

8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.

_____

Of course, nCk = n!/(k!(n-k)!)

7 0

3 years ago