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
Sergio039 [100]
2 years ago
8

Find the 53rd term of the arithmetic sequence 27,11, -5

Mathematics
1 answer:
vivado [14]2 years ago
3 0

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term, that is, d = a_{3} - a_{2} = a_{2} - a_{1}.

To find the nth term of the sequence, this equation can be written as:

a_{n} = a_{1} + (n-1)d

27,11, -5

So a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d

a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805

The 53rd term of this arithmetic sequence is -805.

You might be interested in
4/ 5 ÷ 5/4 will give you<br><br> 1<br> 16/25<br> 1 whole 9 / 25
vova2212 [387]

Answer:

16/25

Step-by-step explanation:

first do keep change flip

4/5 × 4/5

16/25

6 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-2,0) and has a slope of -2
Tcecarenko [31]

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

6 0
3 years ago
Read 2 more answers
a Harley Davidson motorcycle shop maintains an inventory of four times as many new bikes as used bikes. if there are 60 new bike
almond37 [142]
You would divide the new bikes by four to find out the amount of used bikes
so 15
6 0
3 years ago
Read 2 more answers
What is the distance?
Arlecino [84]

Answer:

.25 it 1/4 or an inch should be correct

5 0
3 years ago
(FIRST CORRECT FOR BRAINIEST) Solve for x
Katyanochek1 [597]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

10 + 3x + 3x = 16x

- 11 - 2 + 1 = -12

we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

4 0
3 years ago
Read 2 more answers
Other questions:
  • If AB is parallel to cd which statement must be true
    12·1 answer
  • 20 POINTS! Name the property of equality you would use to solve 2 = 3/4 + x
    8·1 answer
  • What is negative 6k plus 7k
    13·2 answers
  • What is the surface area of the soild?
    11·1 answer
  • Find an equation of the line through (2,6) and parallel to y=2x+3
    14·1 answer
  • Helpplsssssssssssssss number 2
    15·1 answer
  • Ignore the answer I chose it didn't let me click off of it
    7·2 answers
  • B) 144kg in the ratio 1 3.5​
    11·1 answer
  • The following proportion could be used to change from gallons to which measure.
    7·2 answers
  • function a and function b are linear functions. function a is represented by the table values. function b is represented by the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!