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
lozanna [386]
3 years ago
5

What is the final step to prove that Sn>-1/2-1/4-1/8...-1/2n=1/2n

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]

Step-by-step explanation:

You might be interested in
URGENT!!!! WILL GIVE BRANLIEST !!! AT LEAST TAKE A LOOK!!!!!! Find cosP. A) COS=29/21 B) ) COS=21/29 C) ) COS=20/29
Rina8888 [55]

Answer:

C. cos 20/29

Step-by-step explanation:

Cosine is adjacent over hypotenuse, like SohCahToa. Therefore, 20 is the adjacent side and 29 is the hypotenuse (hypotenuse is always the longest side).

3 0
3 years ago
3 determine the highest real root of f (x) = x3− 6x2 + 11x − 6.1: (a) graphically. (b) using the newton-raphson method (three it
Juliette [100K]

(a) See the first attachment for a graph. This graphing calculator displays roots to 3 decimal places. (The third attachment shows a different graphing calculator and 10 significant digits.)

(b) In the table of the first attachment, the column headed by g(x) gives iterations of Newton's Method. (For Newton's method, it is convenient to let the calculator's derivative function compute the derivative f'(x) of the function f(x). We have defined g(x) = x - f(x)/f'(x).) The result of the 3rd iteration is ...

... x ≈ 3.0473167

(c) The function h(x₁, x₂) computes iterations using the secant method. The results for three iterations of that method are shown below the table in the attachment. The result of the 3rd iteration is ...

... x ≈ 3.2291234

(d) The function h(x, x+0.01) computes the modified secant method as required by the problem statement. The result of the 3rd iteration is ...

... x ≈ 3.0477377

(e) Using <em>Mathematica</em>, the roots are found to be as shown in the second attachment. The highest root is about ...

... x ≈ 3.0466805180

_____

<em>Comment on these methods</em>

Newton's method can have convergence problems if the starting point is not sufficiently close to the root. A graphing calculator that gives a 3-digit approximation (or better) can help avoid this issue. For the calculator used here, the output of "g(x)" is computed even as the input is typed, so one can simply copy the function output to the input to get a 12-significant digit approximation of the root as fast as you can type it.

The "modified" secant method is a variation of the secant method that does not require two values of the function to start with. Instead, it uses a value of x that is "close" to the one given. For our purpose here, we can use the same h(x1, x2) for both methods, with a different x2 for the modified method.

We have defined h(x1, x2) = x1 - f(x1)(f(x1)-f(x2))/(x1 -x2).

6 0
3 years ago
The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimet
Vladimir [108]
The answer to this is 27.94. I think....

6 0
3 years ago
Read 2 more answers
Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm
marin [14]

Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing  the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

6 0
3 years ago
The midpoint of RT is S(0.5, –6.25). One endpoint is T(–5.5, 2.75). What are the coordinates of R?
IrinaK [193]
<span>(6.5, –15.25) Is the answer.</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP WILL MARK BRAINLIEST
    5·1 answer
  • The Tempeture for last five days was :65,80,74,84,79,72 .whatwas the average tempeture .
    6·2 answers
  • Simplify the following expression
    14·1 answer
  • One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
    15·1 answer
  • Please help, answer asap
    10·1 answer
  • A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
    10·1 answer
  • Find the factors of the following numbers. <br>a) 15 <br>b) 22 <br>c) 34 <br>d) 45 <br>e) 50
    15·1 answer
  • Find the slope of the line that passes through the pair of points.
    9·2 answers
  • Ann walks 7/8 mile in 1/4 hour. Find the unit rate in miles per hour
    9·1 answer
  • When dividing the polynomial p (1) = 4t^3 - 17t^2+ 14t - 3 by t - 3, the remainder can be determined by evaluating p(3). What is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!