All categories

4 years ago

What are the first five terms of a geometric sequence in which the second term is 6 and the fourth term is 54

Mathematics

1 answer:

konstantin123 [22]4 years ago

6 0

Answer:

2, 6, 18, 54, 162

Step-by-step explanation:

In a geometric sequence, terms that are 2 terms apart (2nd & 4th, for example) have a ratio that is the 2nd power of the common ratio. Since 54/6 = 9 = 3², the common ratio is 3.

The first term will be the 2nd term divided by that ratio; the 5th term will be the 4th term multiplied by that ratio. You can figure the 3rd term any of several ways (and they should all give the same value): multiply the 2nd term, divide the 3rd term, or find the geometric mean of the 2nd & 4th terms: √(6·54) = 18.

You might be interested in

Plz help me I need all the help I can get

Thepotemich [5.8K]

Answer:

c = 6d

Step-by-step explanation:

c = change in y/change in x times days

According to the graph: c = 12/2d

Simplify

c = 6d

4 0

3 years ago

Which dot plot shows a sample that is most representative of the number of pets in a household?

Dovator [93]

Answer:

you kinda need to show a dot plot for someone to answer your question

Step-by-step explanation:

6 0

4 years ago

Explain how to draw a circle with a circumference of 3.14^2 inches. then draw the circle.

ch4aika [34]

This is what I would do.

The general formula for the circumference of a circle is

$2\pi \: r$

where r is the length of the radius of the circle. Simply use the formula to find r so that you can draw the circle:

$2\pi \: r = 3.14 ^{2} inches \\ r = \frac{3.142 ^{2} }{2\pi} = 1.571 \: inches$

Now, draw a circle with a radius of 1.571 inches. This number has been rounded up to 3 significant figure. Hope this helps!

4 0

4 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 193 cm cubed 3. The height of the water

Gwar [14]

The radius of the cylinder is 2.92 cm

<u>Explanation:</u>

Given:

Volume of cylinder, V = 193 cm³

Height of the cylinder, h = 7.2 cm

Radius of the cylinder, r = ?

We know:

Volume of cylinder = πr²h

On substituting the value we get:

$193 = 3.14 X r^2 X 7.2\\\\r^2 = 8.54\\\\r = 2.92 cm$

Therefore, the radius of the cylinder is 2.92 cm

8 0

3 years ago

Read 2 more answers

Gwendolyn has already read 130 pages of her 400-page summer reading book. If she reads at an average rate of 45 pages per hour,

tester [92]

H=270/45

To find how many hours it takes to read the rest of the book, you have to divided the remainder of pages (270) by how many pages are read in a hour (45)

6 0

3 years ago

Read 2 more answers