Question

Harmonic series= 1+ 1/2+ 1/3+ 1/4+1/5+1/6+1/7+1/8+1/9+..... S= 1+1/2+1/4+1/4+1/8+1/8+1/8+1/8+1/16 Explain how and why we replace the harmonic...

Harmonic series= 1+ 1/2+ 1/3+ 1/4+1/5+1/6+1/7+1/8+1/9+.....

S= 1+1/2+1/4+1/4+1/8+1/8+1/8+1/8+1/16

  1. Explain how and why we replace the harmonic series with series S.
  2. Explain how we know that series S diverges.
  3. Explain why we can then conclude that the harmonic series diverges.

Homework Answers

Answer #1

12

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
Pair 1 2 3 4 5 6 7 8 9 10 Medication 7 8 9 5...
Pair 1 2 3 4 5 6 7 8 9 10 Medication 7 8 9 5 6 7 7 8 8 7 Placebo 5 5 7 6 8 7 5 9 3 7 (Note: If you’re going to subtract, choose the order medication - placebo.) A sample of patients with similar weight and age characteristics were put in pairs. One patient in the pair was given medication while the other patient was given a placebo. After a month patients were...
A:  8   6   5   8   9   5   3   7   9   3   5   7   9   3   6   4  ...
A:  8   6   5   8   9   5   3   7   9   3   5   7   9   3   6   4   5   8   5   3   9 B:  3   7   9   3   5   7   9   6   8   3   5   9   6   7   8   3   7   9   5   2   8 C:  5   9   6   7   8   3   7   9   5   2   8   8   6   5   8   9   5   4   7   8   5 Using the data from the Production Run Population table what type of graph is not appropriate to...
Consider the following time series. Period   Demand 1   6 2   7 3   5 4   9 5  ...
Consider the following time series. Period   Demand 1   6 2   7 3   5 4   9 5   13 6   16 7   12 8   16 ​a) Using a trend​ projection, forecast the demand for Period 9. ​a) The forecasted demand for Period 9 is ​(Type an integer or decimal rounded to one decimal place as​ needed.) ​b) Calculate the MAD for this forecast. ​b) MAD= ​(Type an integer or decimal rounded to one decimal place as​ needed.)
Considering the following time series data: Week 1 2 3 4 5 6 7 8 9...
Considering the following time series data: Week 1 2 3 4 5 6 7 8 9 10 Sales 8 11 14 19 16 10 8 12 14 16 Compute the naïve forecast and the three-week Moving Average and evaluate the forecast accuracy considering the Mean Absolute Error (MAE), Mean Squared Error (MSE) and the Mean Absolute Percentage Error (MAPE) for each of these two predictions. Compare both of them and determine which is the best model
Consider the following: period 1, 2, 3, 4, 5, 6, 7, 8 demand 7, 8, 9,...
Consider the following: period 1, 2, 3, 4, 5, 6, 7, 8 demand 7, 8, 9, 10, 14, 16, 13, 16 a. using a trend projection, forecast the demand for period 9 b. calculate the MAD for this forecast Show all work! do not use excel or phstat!!!
MEDICATION ‘’A’’: 5 7 4 9 5 7 6 6 9 8 MEDICATION ‘’B’’: 3 2...
MEDICATION ‘’A’’: 5 7 4 9 5 7 6 6 9 8 MEDICATION ‘’B’’: 3 2 4 5 4 4 3 5 3 4 The SQRT(1/nA + 1/nB) = SQRT ( 1/10 + 1/10) = SQRT (0.2) = __________ The 95% CI is therefore (MA – MB) ± t α/2 * Sp * SQRT(1/nA + 1/nB) = ______ ± _____ = _____<M<_____.
Consider the following data: 6, 8, 2, 3, 4, 4, 5, 5, 9, 6, 6, 7,...
Consider the following data: 6, 8, 2, 3, 4, 4, 5, 5, 9, 6, 6, 7, 7 ,7, 7, 8, 8, 8, 8, 9, 9. What type of distribution is this?
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9}...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9} with A = {1, 2, 3, 5, 7} and B = {3, 4, 6, 7, 8, 9} a.)Find (A ∩ B) C ∪ B b.) Find Ac ∪ B.
1. Consider the series 1 − 2 /3 + 4 /9 − 8 /27 + ⋯...
1. Consider the series 1 − 2 /3 + 4 /9 − 8 /27 + ⋯ . a. Write the series in summation notation. (5 points) b. Does the series converge? Why? (5 points)
=Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 only once,...
=Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 only once, find all the possible 3 digit number plus another 3 digit number to equal a 4 digit number. (No repetition of numbers is allowed.) One example is 589+437=1026. We are asked to find ALL the possibilities. I know it has to do with combinations, but I'm not quite sure if I'm using it the proper way.