What is the pattern in this summation expression?

  • Thread starter Thread starter irony of truth
  • Start date Start date
  • Tags Tags
    Expression Simplify
AI Thread Summary
The discussion focuses on identifying the pattern in a summation expression involving a series. The expression includes terms like x - (2/6)x^3 - (20/120)x^5 and continues with coefficients 2, 20, 1080, and 140400. The user seeks to express this series in a general term format for summation from n = 1 to infinity. The goal is to find a consistent pattern for the coefficients to simplify the expression. Clarification is sought on how to derive the general term for these coefficients.
irony of truth
Messages
89
Reaction score
0
I need some help

I got an expression involving series...

x - (2/6)x^3 - (20/120)x^5 - (1080/5040)x^7 - (140400/362880)x^9 - ...

I remove x from my summation expression.. but

Right now, I can express as a summation from n = 1 to infinity of

(??) x^(2n + 1) / (2n + 1)!

That is.. what is my pattern in this: 2, 20, 1080, 140400,... ?
 
Physics news on Phys.org
Am I correct to say that you want to find the general term to express it as one summation?
 
Yes. That is what I want to know... thank you for your clarification
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Equilibrium Position of a Hanging Candy Cane
Replies
17
Views
829
Thermally insulated container with alternating series of walls
Replies
49
Views
2K
Air wedge interference pattern after being filled with water
Replies
5
Views
2K
For what values of total energy is the resulting motion periodic?
Replies
25
Views
933
I How Can Nested Summation Functions Be Simplified or Reversed?
Replies
6
Views
2K
What Does exp Mean in Mathematical Expressions?
Replies
5
Views
1K
Graphing the Superposition of Two Standing Waves
Replies
8
Views
2K
Finding the center of mass of a simple 2D shape
Replies
9
Views
3K
Interference pattern of a fan of plane waves
Replies
2
Views
2K
Sinusoidal Radiation Statements (T/F)
Replies
2
Views
921

Hot Threads

Recent Insights

Back
Top