What is the Value of n in a Binomial Theorem Problem?

SclayP
Messages
27
Reaction score
0
1.Find n, if the term 11 coefficient it is 6 time the term 10 coefficient in
2.(6x^7 + 5x^(-4))^n
3
 

Attachments

  • img029.jpg
    img029.jpg
    26.1 KB · Views: 428
Physics news on Phys.org
I am not sure what term 11 and 10 are (counted from what?), but you should not have all those powers of x in your calculation. The coefficient is the value in front of xwhatever.
 
81 looks right to me.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Integrating Logarithmic Functions with Binomial Terms
Replies
14
Views
3K
Let k∈N, Show that there is i∈N s.t (1−(1/k))^i − (1−(2/k))^i ≥ 1/4
Replies
12
Views
1K
Verify Green's Theorem in the given problem
Replies
10
Views
2K
Solve the equation involving binomial theorem
Replies
16
Views
1K
Understanding the meaning of "expected fraction" (Statistics)
Replies
4
Views
2K
Solving for nC8,nC9, and nC10 in an Arithmetic Progression
Replies
3
Views
2K
Finding Coefficient of x^8y^5 using Binomial Theorem
Replies
2
Views
1K
Variance of binomial distribution
Replies
8
Views
2K
Proving n^n > 2^n *n using the Binomial theorem
Replies
1
Views
2K
Binomial theorem and modular arithmetic
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top