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3 years ago

Answerrrrrrr plsssssssss

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer:

Step-by-step explanation:

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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0

3 years ago

Need help doing this questions, all help is appreciated thanks.

vichka [17]

Answer:

The answer to your question is the third option

Step-by-step explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope = $\frac{y2 - y1}{x2 - x1}$

Process

1.- Calculate the slope of line 1

slope 1 = $\frac{6 - 2}{3 - 2}$

slope 1 = $\frac{4}{1}$

slope 1 = 4

2.- Calculate slope 2

slope 2 = $\frac{9 - 5}{1 - 0}$

slope 2 = $\frac{4}{1}$

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.

8 0

3 years ago

Graph y = x2 – 2x – 3. (Identify the y-intercept.)

Pavlova-9 [17]

Answer:

Your y-intercept is (0,-3)

Step-by-step explanation:

I rec. using desmos graphing calculator it makes questions like that 10x easier.

Hope this helps! :)

6 0

3 years ago

Find the number that makes the ratio equivalent 1:3 9:_

dimaraw [331]

Answer:

Step-by-step explanation:

If the ratio is 1:3 multiply that by 9:9 so you effectively get 9:9x3 = 9:27. Or, you can say to yourself if B (3) is 3 times greater than A (1) then B is 3 times greater than 9. So 9x3 = 27

3 0

3 years ago

In March, the Chang’s phone and water bills together cost $540. If the phone cost four times as much as the water, how much was

Charra [1.4K]

The water bill was 1/5 of the total, so was 0.2*$540 = $108.

6 0

3 years ago