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]
4 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]4 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
2. What is the equation of the line that passes through the point (-4,-7) and is
Dima020 [189]

Answer:

2x+1=y

Step-by-step explanation:

Parallel means has the same slope, so slope equals 2

2x+b=y (we don't know the y-intercept)

plug in x and y

2(-4)+b=-7

-8+b=-7

b=1

so, 2x+1=y

6 0
3 years ago
Read 2 more answers
HELP MEEE!!! Will make brainlyist if right!!
Diano4ka-milaya [45]

Answer:

238 degrees

Step-by-step explanation:

Whole circle measures 360 degrees.

Subtract 122 degrees from the whole circle to get 238 degrees.

7 0
3 years ago
Write each produce using exponents. DO NOT SOLVE. use ^ to signify the exponent. eg, 13 ⋅ 13 = 13^2
Gnom [1K]

Answer:

Step-by-step explanation:

5^6

6 0
3 years ago
Read 2 more answers
Solve for x, need help!
tatyana61 [14]

Answer:

Cosθ =Adjacent / hypotenuse

\cos(45)  =  \frac{6}{x}  \\  \frac{1}{ \sqrt{2} }  =  \frac{6}{x}   \\ x = 6 \sqrt{2}

6 0
3 years ago
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine
Neporo4naja [7]

Answer:

She subtracted 3.4 on the left and added 3.40 on the right

Step-by-step explanation:

3.40 + 0.85 x = 5.27

Subtract 3.40 from each side  

3.40 -3.40+ 0.85 x = 5.27-3.40

.85x = 5.27 - 3.40

.85x =1.87

Divide by .85

.85x/.85 =1.87/.85

x = 2.2

7 0
3 years ago
Read 2 more answers
Other questions:
  • Factor the polynomial by its greatest common monomial factor 20y^6-15y^4+40y^2
    11·1 answer
  • Jasper wants to buy a video game that costs $35. He has $10.50, and his weekly allowance is $5 if w represents the number of wee
    8·1 answer
  • Which one of these methods finds the volume of the given figure?? Please Help Me Asap!!!!!
    13·2 answers
  • Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
    7·1 answer
  • Help ASAP (image provided)
    14·1 answer
  • Simplify the algebraic expression 7x^2 + 6x - 9x - 6x^2 + 15
    7·2 answers
  • In geometry every single term must be defined
    13·1 answer
  • A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
    9·1 answer
  • PLEASE HELP SHDHSJS :D
    9·2 answers
  • One of the factor of x² +3x+2 is x+1 then the other factor is …..​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!