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
alukav5142 [94]
3 years ago
12

(5CQ) Use the comparison test to determine whether the series 25/3+125/9+625/27+... is convergent or divergent.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

The terms in the sum are given by the sequence

\left\{\dfrac{5^{n+1}}{3^n}\right\}_{n\ge1}

We have

\dfrac{5^{n+1}}{3^n}>\dfrac{5^n}{3^n}=\left(\dfrac53\right)^n>1

for all n, and the series 1+1+1+\cdots clearly diverges, so \dfrac{25}3+\dfrac{125}9+\cdots must also diverge.

You might be interested in
Which expression is equivalent to<br> %?
olganol [36]

Answer:

x^{\frac{2}{3} }

Step-by-step explanation:

⇒ x^({\frac{4+2}{3}) } ^{\frac{1}{3} }

⇒ (x^{\frac{6}{3} })

⇒ (x^{2} )\frac{1}{3}

⇒ x^{\frac{2}{3} }

8 0
2 years ago
HELP ME WITH THIS QUESTION PLEASE
lara [203]

Answer:

  • 0.79

Step-by-step explanation:

all you really need to do is multiply your decimal (15.8) by your percent (5) so, you problem would look like 15.8(.05) (note it is .<em>0</em>5 because there need to be 2 decimal places) so, your answer is .79

6 0
3 years ago
Please help <br><br>problems 1 through 6​
labwork [276]

Answer:

I can not see please take other picture

8 0
3 years ago
Two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas
joja [24]

Answer:

4 km per hour and 6 km per hour.

Step-by-step explanation:

The combined running rate  = 30/3 = 10 km/h.

If one runner's speed = x then the other one's speed is x+2 km/h.

So x + x + 2 = 10

2x = 8

x = 4

So one runs at 4 km/h and the other at 6 km/h.

3 0
3 years ago
What is mean in math
PSYCHO15rus [73]
The mean is the average of the numbers. to find the mean add up the numbers and divide by how many numbers there are
6 0
3 years ago
Other questions:
  • Rewrite 4x = y +6 in slope-intercept form.
    14·2 answers
  • Do two natural numbers always have a gcf
    14·2 answers
  • Two cars are traveling in the same direction. the first car is going 40 mph and the second car is going 55 mph. the first car le
    13·1 answer
  • You have 2 different savings accounts. For Account​ A, the simple interest earned after 9 months is ​$5.70. For Account​ B, the
    10·1 answer
  • The diameter of a circle is 6 centimeters. What is the circle's area?<br><br> Use 3.14 for pi
    13·2 answers
  • Given:<br> RS = 3x - 16<br> ST = 4x - 8<br> RT = 60<br> Solve for RS.
    12·1 answer
  • Choose the expression that represents the fraction one seventh.
    9·1 answer
  • What is the median score on the exam ?<br> a) 70<br> b) 75<br> c) 77.5<br> d) 85
    9·1 answer
  • After 30 baseball games. A-rod had 25 hits. If after 100 games he had 80 hits, what is his average hits per baseball game?
    10·1 answer
  • Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a p
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!