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
emmainna [20.7K]
3 years ago
7

Which of the following sequences are convergent

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

option A  and E

Step-by-step explanation:

Arithmetic sequence converge,  only  in the case only when r=0

otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.

So we ignore second and fourth option

If |r|<1 then geometric sequence converge

if |r|>1 then geometric sequence diverge

In option A, r= 1/5  that is less than 1  so it converge

In option C, r= -2 , |r| > 1 so geometric sequence diverge

In option E, r= 2/3 that is less than 1  so it  converges

Answer is option A  and E




You might be interested in
Let f(x) = x2 - 16. Find f-1(x).
Arisa [49]
f(x)=x^2-16

To find f^{-1}(x), (the inverse of the function) you need to first replace the f(x) with y...
y=x^2-16
Then switch the x and the y.
x=y^2-16
Solve for y.
x+16=y^2
Take the square root of each side...
\boxed{y=\pm\sqrt{x+16}}
6 0
3 years ago
Read 2 more answers
How to find slope when there is the y intercept and x-intercept?
natta225 [31]
First graph your x and y intercept then pick any two points on the line.
\frac{rise}{run} = \frac{y2 - y1}{x2 - x1}
that's the equation used to find your slope

Example:

(4,2) (8,6) let's say those are the points you pick from the line

so then you subtract 6-2=4 (6 is your y2 and 2 is your y1)

then subtracts 8-4=4 (8is your x2 and 4 is your x1)

then your left with
\frac{2}{4}
if you can reduce the reduce in this case you can which leaves you with
\frac{1}{2}
and that's how you find the slope
4 0
3 years ago
Use Synthetic Division to divide 6x^3-10x^2+20 by x+1<br><br> Quotient:_____<br><br> Remainder:_____
exis [7]

Answer:

the quotient is 6x^2 - 16x + 16, and the remainder is just 4

Step-by-step explanation:

The polynomial 6x^3-10x^2+20 has coefficients {6, -10, 0, 20}.  Division by the binomial x + 1 requires that we use -1 as the divisor.  The synthetic division setup becomes:

-1   /    6    -10    0    20

                 -6    16   -16

     -----------------------------

          6     -16   16       4

Taking the coefficients {6, -16, 16}, we write the quotient as

6x^2 - 16x + 16, and the remainder as just 4.

6 0
3 years ago
Lisa is mailing a letter to a friend. Postage costs $0.32 for the first ounce and $0.23 for the additional ounce. How heavy can
Advocard [28]

Answer: 8.3 ounces

Step-by-step explanation:

simple, there's a flat fee for 1 ounce, then 23 cents for each ounce following.

so $2 - $0.32 = $1.68

1.67 / 0.23 = 7.3 ounces

7.3 ounces + 1 ounces (from the flat fee we subtracted)

which equals 8.3

7 0
3 years ago
Help with this question!Please
Nimfa-mama [501]
Answer= 60
For both answers X= 60
3 0
2 years ago
Read 2 more answers
Other questions:
  • An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total am
    9·1 answer
  • An airplane flies with a constant speed of 920 km/h. How far can it travel and 4 hours 12 minutes?​
    7·1 answer
  • 3p to the power of 5+(-4p to the power of 5)
    15·1 answer
  • the scale on a drawing is 0.5 mm : 4 cm. the height of the drawing is 4.5 millimeters. the actual height of the object?
    15·1 answer
  • juila has 3 1/2 pounds of dog food.she has to slit it quality among her 7 dogs how much food will each dog receive
    14·1 answer
  • BRAINLIEST!50 POINTS!!RIGHT ANSWERS ONLY!!
    8·1 answer
  • WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points
    12·1 answer
  • Solve For The Missing Variable In Each Figure. Give Exact Values.
    9·1 answer
  • Gio is purchasing gum at the corner store. The graph below
    12·1 answer
  • A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!