Algebra, Mathematics

Assignment Help:

If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n.

Answer:Arithmatic mean of a,b is =(a+b)/2
 from the problem
(a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n)
 then (a+b)(a^n+b^n)=(a^n+1 +b ^n+1)*2
a^n(a-b)=b^n(a-b)
then (a/b)^n=1=(a/b)^0
from this equate the powers
then n=0


Related Discussions:- Algebra

Linear programming Special purpose of algorithm, the conclusion about stepp...

the conclusion about stepping stone method in real life situation?

Permutation, A telephone dialled is numbered 0to9. if 0is dialled first the...

A telephone dialled is numbered 0to9. if 0is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local n

Matrices, Consider the following linear equations. x1-3x2+x3+x4-x5=8 -2x1+...

Consider the following linear equations. x1-3x2+x3+x4-x5=8 -2x1+6x2+x3-2x4-4x5=-1 3x1-9x2+8x3+4x4-13x5=49

Classification-developing pre-number concepts, Classification :  As you kn...

Classification :  As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c

I-phones in one year, Assume company A expects to enhance unit sales of i-p...

Assume company A expects to enhance unit sales of i-phone by 15% per year for the next 5 years. If you presently sell 3 million i-phones in one year, how many phones do you expect

Parallel lines, Parallel to the line specified by 10 y + 3x= -2 In this...

Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this

The Bake Sale, Lindy has 48 chocolate chip cookies and 64 vanilla wafer coo...

Lindy has 48 chocolate chip cookies and 64 vanilla wafer cookies. How many bags can Lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bag? She pl

Lori, rewrite the problem so that the divisor is a whole number...8.5/2.3

rewrite the problem so that the divisor is a whole number...8.5/2.3

Negative function , Negative function : Several functions are not positive...

Negative function : Several functions are not positive however.  Consider the case of f (x ) =x 2 - 4 on [0,2].  If we utilizes n = 8 and the midpoints for the rectangle height w

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd