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
azamat
3 years ago
8

16, 4,1,... Find the 6th term

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Let's see what to do...

_________________________________

Step (1)

Look : 16 , 10 , 4 , ...

It is an arithmetic sequence.

So first we have to find the value of the ratio(( d )) .

To do this, we need to subtract each sentence minus the previous sentence.

So we have : 10 - 16 = - 6

_________________________________

Step (2)

To find the nth sentence in an arithmetic sequence, we must use the following equation :

t(n) = t(1) + (n - 1)d

_________________________________

Step (3)

To find the 6th term just need to put the following parameters in the above sequence.

t(1) = 16 ------ n = 6 ------ d = -6

t(6) = 16 + (6 - 1)( - 6)

t(6) = 16 + (5)( - 6)

t(6) = 16 + ( - 30)

t(6) = 16 - 30

t(6) =  - 14

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

You might be interested in
Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60 degrees . What is the length
Darya [45]

Answer:

  √13 ≈ 3.6056

Step-by-step explanation:

The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...

  c² = a² + b² - 2ab·cos(C)

  c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13

  c = √13 ≈ 3.6056

The length of the third side is √13, about 3.6056.

5 0
3 years ago
Evaluate 7[45÷(19-10)]+2<br>​
mr Goodwill [35]

Answer:37

Step-by-step explanation:

5 0
3 years ago
How do I prove that 2 cot 2x = cot x-tan x?
BlackZzzverrR [31]
We will start off working on the right hand side. 
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>

<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>

<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>

<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
7 0
3 years ago
Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4
balandron [24]

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

7 0
3 years ago
Which inequality represents all possible solutions of −6n&lt;−12?
muminat

Answer:

B n>2

Step-by-step explanation:

−6n<−12

Divide each side by -6, remembering to flip the inequality

-6n/-6 > -12/-6

n >2

5 0
3 years ago
Other questions:
  • HELP QUICK ME QUICK PLEASE THANKS
    9·2 answers
  • How do I find the surface area of a a triangular prisim
    7·2 answers
  • On average, shawnte drinks 1/2 of a 6-ounce glass of water in 2/3 hour.How much water does she drink in an hour
    8·1 answer
  • One study on managers’ satisfaction with management tools reveals that 58% of all managers use self-directed work teams as a man
    15·1 answer
  • How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown.
    9·1 answer
  • HELP PLEASE !!!!
    14·2 answers
  • In this figure, which of the following are corresponding angles?
    9·2 answers
  • If you add​ Natalie's age and​ Fred's age, the result is 38. If you add​ Fred's age to 4 times​ Natalie's age, the result is 74.
    12·2 answers
  • The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for p
    12·2 answers
  • Plz help me with this one <br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%203%20%5C%5C%20y%20%3D%203x%20%2B%2012" id="TexFo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!