Question

Evaluate the following sum 1+1/4-1/16-1/64+1/256+1/1024--++ ...

Evaluate the following sum

1+1/4-1/16-1/64+1/256+1/1024--++ ...

Homework Answers

Answer #1

Here we have used the result the absolute convergence implies the sum remains unaltered by any change in order of its term .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Consider the geometric series −1/4+3/16−9/64+27/256+... Use summation notation to write this series and determine whether...
1. Consider the geometric series −1/4+3/16−9/64+27/256+... Use summation notation to write this series and determine whether it converges. If it does, find the sum.
Evaluate the geometric series described. -1 - 4 - 16 - 64..., n = 7
Evaluate the geometric series described. -1 - 4 - 16 - 64..., n = 7
Third root of 256(−1 + ?) Fifth root of 1024
Third root of 256(−1 + ?) Fifth root of 1024
find the sum of the following series:[(-1)^n pi^2n+1]/4(16)^n (2n+1)
find the sum of the following series:[(-1)^n pi^2n+1]/4(16)^n (2n+1)
Evaluate the following sum 1/1.3 + 1/2.4 + 1/3.5 + 1/4.6 + ...
Evaluate the following sum 1/1.3 + 1/2.4 + 1/3.5 + 1/4.6 + ...
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4,...
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints. 2. sketch a graph 3. Explain. The Riemann sum represents the net area of the rectangles with respect to the .....
Task 1(Mathematical): Calculate the Shannon theoretical capacity of a channel whose bandwidth is 5MHz with the...
Task 1(Mathematical): Calculate the Shannon theoretical capacity of a channel whose bandwidth is 5MHz with the following SNR in dB: 1.) 0 dB 2.) 10dB 3.) 55dB 4.) 35dB 5.) 60dB (please pay attention to this fact that in Shannon calculation, SNR has to be in absolute units). Calculate the Nyquist capacity of a channel whose bandwidth is 5MHz with the following logical levels: 1.) 8 2.) 16 3.) 64 4.) 256 5.) 1024
If the confidence interval for the standard deviation is between 4 and 16 then the confidence...
If the confidence interval for the standard deviation is between 4 and 16 then the confidence interval for the variance will be between -16 and -256 16 and 256 2 and 4 -2 and -4
Python Question: Write a function which returns the sum of squares of the integers 1 to...
Python Question: Write a function which returns the sum of squares of the integers 1 to n. For example, the sum of the squares from 1 to 4 is 1 + 4 + 9 + 16, or 30. You may choose what should be returned if n == 0 You may not use the built-in Python sum function. The Solution Must be recursive >>> sum_of_squares(1) 1 >>> sum_of_squares(4) 30 >>> sum_of_squares(8) # 64 + 49 + 36 + ... +...
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n...
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n = 4. You should include a picture of the corresponding rectangles and state if this is an under or over approximation of the area beneath the graph of f, above the x-axis and between x = −1 and x = 1. In your solution, you should write out all terms that go into the Riemann sum.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT