Question

If S(n) denotes the sum of digits of n, how can I prove that for any...

If S(n) denotes the sum of digits of n, how can I prove that for any n, the sequence n, S(n), S(S(n)),... eventually becomes constant? I understand that this is essentially just finding the digital sum of n, but I am having hard time figuring out how I would formally prove this. Any help is appreciated! Thanks!

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
6. Define S={q∈Q:−√3< q <√3}, where Q denotes the rational numbers. Prove that S can not...
6. Define S={q∈Q:−√3< q <√3}, where Q denotes the rational numbers. Prove that S can not be the set of subsequential limits of any sequence (sn) of reals. Please be very verbose. I already have the answer to this question as a contradiction. It is okay if you use a contradiction, however please explain thoroughly.
How can I prove that any node of a binary search tree of n nodes can...
How can I prove that any node of a binary search tree of n nodes can be made the root in at most n − 1 rotations?
I am trying to figure out how to find the test statistic using Excel. I understand...
I am trying to figure out how to find the test statistic using Excel. I understand the formula- that I need to use parameter 'p' and 'normal distribution' ….z= sample proportion and minus the 'population portion' then we divide p*q and divide n -sample size. I understand how to populate the data in the formula. I just can't figure out how to solve this using Excel. (my only option with my class) I need step by step directions if possible....
So I am having a really hard time on my investments homework. I would be grateful...
So I am having a really hard time on my investments homework. I would be grateful to just see examples like these so that I understand how to do them. My textbook is no help. 2.         XYZ stock traded last at $30.00 per share. Provide an example of a buy limit order that you might place, and indicate how it would work.         b.    Suppose you bought XYZ's stock at $30.00 per share. Explain the stop order that...
Prove the following result. PLEASE EXPLAIN reasoning so I can understand how to do it on...
Prove the following result. PLEASE EXPLAIN reasoning so I can understand how to do it on my own. Let x and y be integers. Then x ≡ y (mod m) and x ≡ y (mod n) if and only if x ≡ y (mod L), where L = lcm[m, n]. Then expand to any finite number of moduli
Looking at my answers, I was am always off buy about range of .1 to .4...
Looking at my answers, I was am always off buy about range of .1 to .4 from the correct answer that is stated. I am having a really tough time trying to figure out how to get my number to be exactly like what is shown as correct so I need a little help with figuring out what I am doing wrong. Here is an example of a question I just cant seem to figure out. I'll show all my...
Read the Following Case Study and Answer the Question Below Mandy L. Georgia I live near...
Read the Following Case Study and Answer the Question Below Mandy L. Georgia I live near a major highway on a mini-farm with chickens, ducks and goats. I have a domestic partner and two wonderful sons. I now love to sit on my porch, watching the chickens peck the ground and enjoying the sunshine. But, not too long ago, I used to sit on this same porch and think how easy it would be to walk into traffic. I suffer...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe Musk? 2-Why do you think Musk is successful in overcoming obstacles and handling conflict? How do you overcome obstacles in influencing individuals in your life? 3-Besides the personality traits given in chapter 2, what other traits attribute to a great leader? Recognizing Your Traits The definition of intelligence is the ability to acquire and apply knowledge and skills. Elon Musk knew little about rockets...
How can social comparison theory be used to interpret the success of Dove’s early Real Beauty...
How can social comparison theory be used to interpret the success of Dove’s early Real Beauty campaign? Dove’s Advertising Campaign Highs and Lows: From Real Beauty to Real Success to Real Controversy In 2017, Jennifer Bremner, brand director of skin cleansing at Unilever, had highly valued the Dove brand’s success. Over the previous decade, Dove (best known for its skin cleanser products such as body wash and moisturizer bars) had received multiple prestigious awards for its branding and positioning accomplishments....
The assignment summary sheets will be submitted week 14 with Test 3. You are to personally...
The assignment summary sheets will be submitted week 14 with Test 3. You are to personally experience the power and satisfaction of developing these skills firsthand and to reflect and write about this experience. Over the years, many students have shared amazingly rewarding experiences as they worked on these skills. The assignment will be evaluated and be weighted as 5% of your final mark (together, they are worth 20% of your mark for Test 3, which is worth 25% of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT