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

Find the value of the first instalment, A man arranges to pay a debt of Rs....

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

Developing an understanding ones tens and more, DEVELOPING AN UNDERSTANDING...

DEVELOPING AN UNDERSTANDING :  The other day I was showing the children's book '203 Cats' to my 7-year-old niece. She had recently learnt how to write large numerals in her school

Operations research, Explain Analytical Models in Operations Research with ...

Explain Analytical Models in Operations Research with Application

Basic Mathematics, Distinguish between Mealy and Moore Machine? Construct a...

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''''s encountered is even or odd.on..

Julie had $500 how much money did julie spend, Julie had $500. She spent 20...

Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim

Sequences, what is the answer to 2.1 to 4.2

what is the answer to 2.1 to 4.2

Example of decimal to fraction conversion, Example of Decimal to Fraction C...

Example of Decimal to Fraction Conversion: Example: Convert 18.82 to a mixed number. Solution: Step 1:            18.82 is 18 and 82 hundredths. 18.82 = 18(8

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