A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
I have a question regarding the sum stuff with the big sigma.
anonymous
 3 years ago
I have a question regarding the sum stuff with the big sigma.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0According to my book this is true: \[\sum_{k=1}^{n}1=n\] Why is this sum n and not 1 or 0 since there is nothing to sum?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there is. The summation notation means that 1 is added n times. So, it's 1+1+1+1+1+1+1+1...+1 {n times }=n

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0or you could factorise quadratically but that would take way longer

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Why do I add the 1s since there is no index k?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{k=1}^{n}1 = 1+1+1+1+1+......+1 =n\] if there is no k, then there is none. k=1 simply means you start from first terms. in this case,it's 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the k can be omitted, actually.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{k=1}^{n}=\sum_{1}^{n}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0writing k is mostly a formality but in this case without the index, then we simply ignore it and just add up 1s n times

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ok, now I think I get it. Thank you Shadowys for your help.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.