High School What Does the Sum of Coefficients in the Binomial Theorem Expansion Represent?

Click For Summary
The sum of the coefficients in the binomial theorem expansion of (1+x)^n is obtained by substituting x with 1. This results in the expression simplifying to 2^n, indicating that the sum of the coefficients equals 2 raised to the power of n. This reflects the total number of subsets of a set with n elements. Understanding this concept is crucial for grasping the implications of the binomial theorem. The discussion highlights the importance of this substitution in revealing the significance of the coefficients.
Sreekar adithya
Messages
4
Reaction score
0
TL;DR
Stuck at understanding binomial thorem.
In the general expansion of (1+x)^n what does the sum of the coefficients mean?
 
Mathematics news on Phys.org
Sreekar adithya said:
Summary:: Stuck at understanding binomial thorem.

In the general expansion of (1+x)^n what does the sum of the coefficients mean?

The sum of the coefficients can be found by setting ##x = 1##.
 
  • Like
Likes Sreekar adithya and sysprog

Thread 'Leibniz Rule Videos on Digital-University'

Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...
View full post »

Similar threads

Undergrad Binomial theorem with more than 2 terms
  • · Replies 8 ·
Replies
8
Views
2K
High School Understanding the Evolution of Binomial Coefficient Notation: Old vs. New
  • · Replies 5 ·
Replies
5
Views
2K
High School Is Each Stage of Pascal's Triangle Special?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Summation for extended binomial coefficients
  • · Replies 3 ·
Replies
3
Views
2K
MHB Vandomo's question at Yahoo Answers regarding the binomial theorem
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Newton's Generalized Binomial Theorem
  • · Replies 3 ·
Replies
3
Views
2K
Importance of Binomial Theorem
  • · Replies 7 ·
Replies
7
Views
14K
MHB Solve Binominal Form (4x+3)^n | Binomial Coefficients
  • · Replies 2 ·
Replies
2
Views
2K
Is there a "binomial" theorem for super exp or tetration?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Divisibility of Binomial Coefficients
  • · Replies 8 ·
Replies
8
Views
6K