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
Alona [7]
2 years ago
9

Please help me!!!!!!!!!!!!!!

Mathematics
1 answer:
OLga [1]2 years ago
3 0

Answer:

  1. d, series and sequence diverge
  2. d, geometric/divergent
  3. c, e (geometric, |r|<1)

Step-by-step explanation:

<h3>1.</h3>

The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.

The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.

(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)

__

<h3>2.</h3>

The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.

__

<h3>3.</h3>

A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:

  c. geometric, r = 3/5

  e. geometric, r = -1/6

_____

<em>Additional comment</em>

The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.

You might be interested in
A 35 - m tall building casts a shadow. the distance from the top of the building to the tip of the shadow is 36 m . find the len
Nookie1986 [14]
The illustration of the program is shown in the figure. The missing value is the length of the shadow, that is the base of the right triangle. Since the figure is a right triangle, we can use the pythagorean theorems

c^2 = a^2 + b^2

where c is the longest length or the hypotenuse and a and b are the other two shorter legs. Let's denote the length of the shadow as 'a'.

a = √(c^2 - b^2)
a = √(36^2 - 35^2)\
a = √71 = 8.43 m

5 0
4 years ago
Read 2 more answers
Solve for E.<br> 50−3.6(E−4)=32
DedPeter [7]
E= 9 because you have to distribute -3.6 to E and -4
6 0
3 years ago
Read 2 more answers
What are some rational numbers
Radda [10]

Answer: 1,2,3,4,5,6,7,8,9,

Step-by-step explanation: all numbers that can be expressed as the quotient or fraction

hope this helps please mark brainliest if it did

5 0
3 years ago
The quotient of a number r and 7 is no more than 18 inequality?
saveliy_v [14]

Answer:ikkdrrrrr

Step-by-step explanation:

8 0
3 years ago
Jacob's Boat Rentals charges a one-time fee plus a $5 hourly rate to rent a boat. The cost to rent a boat for 2 hours is $25 and
maks197457 [2]
Hi there! The answer is $15

Let the one-time fee be represented by X.
The total cost of hiring a boat for 2 hours is X + $5 per hour × 2 hours = X + $10

The total cost can also be expressed as $25.
Now we can set up an equation.
X + 10 = 25

Subtract 10.
X = 15

Therefore, the one-time fee to rent a boat is $15.

We can check this by plugging in the data for the rent of 3 hours.
$15 + $5 per hour × 3 hours =
$15 + $15 = $30, which is the correct answer.

In short:
The answer is $15
~ Hope this helps you!
7 0
3 years ago
Other questions:
  • Gavin has $50,000 with which to start a new business. He wants to maintain a cash balance of more than $26,000. If w is the amou
    11·1 answer
  • Is 5 equal to -5 in math
    13·2 answers
  • HELP!!! URGENT!!! 40 POINTS!!!<br><br> Which of the following functions is represented by the graph?
    13·2 answers
  • Glenn is collecting aluminum cans to earn money. He has 5 bags that hold an average of 300 cans each. If he gets $2.00 for every
    10·2 answers
  • Need a word problem for -1/2 x 12
    12·1 answer
  • What is true midpoint of a line segment with the endpoints (4, -3) and (7, -5)7
    12·1 answer
  • Subtract using the number line!!!!!!!!! Help
    5·2 answers
  • Find equation of circle tangent to 3x-4y-4=0 at (0,-1) containing the point (-1,-8)
    12·1 answer
  • Find the value of x in the given
    14·1 answer
  • Please help w this question im struggling !!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!