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
Sergio [31]
3 years ago
5

State why the series is convergent or divergent, and if it is convergent, find the sum.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

Converges, 10

Step-by-step explanation:

∑ 5 / 2ⁿ⁻¹

= ∑ 5 (½)ⁿ⁻¹

This is a geometric series with a₁ = 5 and r = ½.  Since |r| < 1, the series converges to:

S = a₁ / (1 − r)

S = 5 / (1 − ½)

S = 10

You might be interested in
Consider the sequence below
GalinKa [24]

Answer: option D is the correct answer

Step-by-step explanation:

In the given sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 351

d = - 343 - - 351 = - 343 + 351

d = 8

Therefore, the explicit function which defines the sequence is

f(n) = - 351 + 8(n - 1)

f(n) = 8n - 8 - 351

f(n) = 8n - 359

5 0
3 years ago
What is the term to this?
Leni [432]
Proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. I googled this so it may not be correct
5 0
3 years ago
DO NOT ANSWER WITH BITLY LINKS! Find the measure of the arc or central angle indicated. Assume that lines that appear to be diam
Svetach [21]

Answer:

135°

Step-by-step explanation:

LI = LM+MI = 35+80

5 0
3 years ago
What is the domain and range of y+3=2^x
Bad White [126]

Answer: y>-3 and x is all real numbers


5 0
3 years ago
Does this look correct?
Neko [114]
That is not correct.  I will help you.  Begin by subtracting the 9x from both sides, like this:  9x - 9x + 2y = 6 - 9x.  That simplifies to 2y = -9x + 6.  Now divide both sides by 2 to get y all alone, like this:  \frac{2y}{2}=- \frac{9}{2}x+ \frac{6}{2}.  That reduces down to y=- \frac{9}{2}x+3.  That is slope-intercept form.  y = mx + b.
7 0
3 years ago
Other questions:
  • Evaluate the following expression. 1−4x(-3)+8x(-3)
    12·1 answer
  • Find the derivative of f(x) = 6x 2 at x = 1.
    8·1 answer
  • The weight of an empty truck is 7860 pounds
    13·1 answer
  • What is the solution k+4 divided by 2 =k+9 divided by 3
    9·1 answer
  • What does -43.7 + 9.06 equal?
    15·2 answers
  • In a factory 7 men can make 20 bicycles in 5 days.How manny bycycles by 4 men in 14 day?
    12·1 answer
  • Need help solving this equation -3(c-1)=33
    12·1 answer
  • Which tables have a lower unit rate than the rate represented in the equation?
    13·1 answer
  • Assume that a procedure yields a binomial distribution with a trial repeated n times. Use
    13·1 answer
  • I need help asap 20 points <br>​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!