How Does Summation Notation Transition in This Example?

  • Thread starter Thread starter LearninDaMath
  • Start date Start date
  • Tags Tags
    Notation
Click For Summary
The discussion revolves around understanding the transition from the green box to the blue box in a summation notation example. The problem requires expressing a sum starting at 4 as the difference of two known sums, specifically the sum of squares of the first n integers. Participants seek clarification on the foundational knowledge assumed in the example, questioning whether this is typically covered in algebra textbooks. The consensus is that such concepts are usually included in standard algebra curricula. Overall, the focus is on bridging gaps in understanding summation notation and its applications.
LearninDaMath
Messages
295
Reaction score
0

Homework Statement




What is happening from the green box to the blue box? I am completely lost as to what this example is trying to show. Would really appreciate some info on this, thanks.


Homework Equations




sigmanotation-1.jpg
 

Attachments

  • sigmanotation.JPG
    sigmanotation.JPG
    19.3 KB · Views: 669
Physics news on Phys.org
This problem assumes you know the formula for the sum of squares of the first n integers. But the sum you are given isn't the over first n integers because it starts at 4. So the idea is to express the sum you want as the difference of two sums for which you know the formula.
 
How can I learn what this example assumes I already know? Is this covered in algebra textbooks?
 
LearninDaMath said:
How can I learn what this example assumes I already know? Is this covered in algebra textbooks?

Yes, usually.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Chain Rule with Leibniz Notation
  • · Replies 4 ·
Replies
4
Views
2K
How can I convert sigma notation into a finite geometric series?
  • · Replies 3 ·
Replies
3
Views
2K
Understanding the notation in Group Theory
  • · Replies 24 ·
Replies
24
Views
5K
I'm trying to figure out what the summation notation of
  • · Replies 1 ·
Replies
1
Views
2K
Difference between Z notation and sigma
  • · Replies 14 ·
Replies
14
Views
3K
Undergrad Page 183-184 of Howard George's group book
  • · Replies 1 ·
Replies
1
Views
3K
Need help understanding summation notion
  • · Replies 10 ·
Replies
10
Views
2K
Find the Summation Notation and the Radius of Convergence
  • · Replies 2 ·
Replies
2
Views
2K
High School Beginner Einstein Notation Question On Summation In Regards To Index
  • · Replies 2 ·
Replies
2
Views
3K
Theory of Computation problem: Proving that L = L(A)
  • · Replies 1 ·
Replies
1
Views
1K