Question

Prove the summation Σ i*2i (from i=1 to n ) = 1 * 21 + 2*22  +...

Prove the summation

Σ i*2i (from i=1 to n ) = 1 * 21 + 2*22  + 3*23 + ......n*2n

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove the summation by induction Σ i*2i (from i=1 to n ) = 1 * 21...
Prove the summation by induction Σ i*2i (from i=1 to n ) = 1 * 21 + 2*22  + 3*23 + ......n*2n
Problem 3. Let n ∈ N. Prove, using induction, that Σi^2= Σ(n + 1 − i)(2i...
Problem 3. Let n ∈ N. Prove, using induction, that Σi^2= Σ(n + 1 − i)(2i − 1). Note: Start by expanding the righthand side, then look at the following pyramid (see link) from
Prove Summation of integers from 1 to n is n(n-1)/2
Prove Summation of integers from 1 to n is n(n-1)/2
Compute for n = 0, ±1, ±2, ±3, ... the value of (1+i)^(2i)
Compute for n = 0, ±1, ±2, ±3, ... the value of (1+i)^(2i)
1) Find the sum S of the series where S = Σ i ai -- here...
1) Find the sum S of the series where S = Σ i ai -- here i varies from 1 to n. Use the mathematical induction to prove the following: 2) 13 + 33 + 53 + …. + (2n-1)3 = n2(2n2-1) 3) Show that n! > 2n for all n > 3. 4) Show that 9(9n -1) – 8n is divisible by 64. Show all the steps and calculations for each of the above and explain your answer in...
Let P(n) be the statement that 12 + 22 +· · ·+n 2 = n(n+ 1)(2n+...
Let P(n) be the statement that 12 + 22 +· · ·+n 2 = n(n+ 1)(2n+ 1)/6 for the positive integer n. Prove that P(n) is true for n ≥ 1.
Use mathematical induction to prove that 12+22+32+42+52+...+(n-1)2+n2= n(n+1)(2n+1)/6. (First state which of the 3 versions of...
Use mathematical induction to prove that 12+22+32+42+52+...+(n-1)2+n2= n(n+1)(2n+1)/6. (First state which of the 3 versions of induction: WOP, Ordinary or Strong, you plan to use.) proof: Answer goes here.
Prove using mathematical induction that 20 + 21 + ... + 2n = 2n+1 - 1...
Prove using mathematical induction that 20 + 21 + ... + 2n = 2n+1 - 1 whenever n is a nonnegative integer.
We have productivity data from 2 mills Data from Mill 1: 1, 10, 18, 21, 22,...
We have productivity data from 2 mills Data from Mill 1: 1, 10, 18, 21, 22, 22, 23, 25, 28, 29, 32, 34, 38, 40, n=13, Σx=342, Σx^2= 9836 Data from Mill 2: 13, 13, 13, 15, 18, 18, 18, 19, 19, 19, 21, 22, 22, 23, 23, 24, 27, 31, n=18, Σx=358, Σx^2= 7520 a) Calculate the mean and standard deviation for Mill 1 b) Calculate the mean and standard deviation for Mill 2 c) Assume the two are...
I am trying to prove that (sn) is a Cauchy sequence where |sn+1-sn| < 2-n. So...
I am trying to prove that (sn) is a Cauchy sequence where |sn+1-sn| < 2-n. So far, I have figured out that |sm-sn| <= 1/2m+1 + 1/2m+2 + ... + 1/2n. I want to try to not use the geometric series condition. My professor hinted that the right hand side is less than 2/2n but I'm not sure how to find that or how to go from here!
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT