1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sashaice [31]
3 years ago
15

Which answer describes the type of sequence? 200, 40, 8, 1.6, ...

Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

Option 1  the given sequence is a geometric.

Step-by-step explanation:

We have been given with the series

200,40,8,1.6

Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d

d=a_2-a_1

d=40-200=-160   herea_2=40,a_1=200

d=8-40=-32          herea_2=8,a_1=40

We can see the difference is not same

Hence, the given sequence is not arithmetic sequence.


Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r

r=\frac{a_2}{a_1}

r=\frac{40}{200}=\frac{1}{5}   herea_2=40,a_1=200

r=\frac{8}{40}=\frac{1}{5}          herea_2=8,a_1=40

r=\frac{1.6}{8}=\frac{1}{5}             herea_2=1.6,a_1=8

We can see the ratio is  same.

Hence, given sequence is geometric

Therefore, Option 1 is correct given sequence is geometric.

You might be interested in
Please show all work with the answers please
kenny6666 [7]
Part A

The angle of elevation of the staire case is given by

Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o



Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span>Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o</span>
5 0
3 years ago
Assessment 63 boys enter a marathon
BARSIC [14]

Answer:

15 boys dont finish

Step-by-step explanation:

48+a=63

a=15

4 0
3 years ago
Read 2 more answers
Complete the following exercises by applying polynomial identities to complex numbers. Factor x2 + 64. Check your work. Factor 1
Mumz [18]
x^2+64=x^2-(8i)^2=(x-8i)(x+8i)

16x^2+49=(4x)^2-(7i)^2=(4x-7i)(4x+7i)

(x+9i)^2=x^2+2x\cdot9i+(9i)^2=x^2+18xi+81i^2=x^2+18xi-81=x^2-81+18xi

(x-2i)^2=x^2-2x\cdot2i+(2i)^2=x^2-4xi+4i^2=x^2-4xi-4=x^2-4-4xi

(x+(3+5i))^2=x^2+2x(3+5i)+(3+5i)^2\\\\=x^2+6x+10xi+3^2+2\cdot3\cdot5i+(5i)^2\\\\=x^2+6x+10xi+9+30i+25i^2=x^2+6x+10xi+9+30i-25\\\\=x^2+6x+10xi+30i-16=x^2+6x-16+(10x+30)i


Used:\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\\\(a+b)^2=a^2+2ab+b^2
4 0
3 years ago
Read 2 more answers
What number is 10 times greater than 80
jarptica [38.1K]
800
You would multiply 10x80
6 0
3 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra
Stels [109]

Answer:

Third option: y= \frac{1}{4}x+2

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y -4 = \frac{1}{4}(x -8). What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

y -4 = \frac{1}{4}(x -8)

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2

You can identify that the slope "m" is:

m=\frac{1}{4}

And the y-interecept "b" is:

b=2

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone solve for x?
    11·1 answer
  • Please help me with this please answer this correctly
    6·1 answer
  • What is a speculator? 5 POINTS PLEASE HELP!
    8·2 answers
  • Help me with #6 please
    14·2 answers
  • When dividing one number into another ,repeating decimals are the result of having no reminder. True or false
    9·1 answer
  • The captain of a ship at point A and sailing toward point B observes a lighthouse at L and finds angle LAC to be 36*30'. After s
    8·1 answer
  • A washer and a dryer cost 854$ combined. The washer costs $96 less than the dryer. What is the cost of the dryer
    13·1 answer
  • What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?
    7·1 answer
  • Convert the angle - 3 radians to degrees, rounding to the nearest 10th.
    13·1 answer
  • hi people! so, i have a math dyslexia, this means i have a really hard time not only understanding math, but keeping up with all
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!