Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Sequences and Series
0 votes

If $\large\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$ is the $A.M.$ between $a$ and $b$, then find the value of $n$

$\begin{array}{1 1}0 \\ 1\\ 2\\ 3 \end{array} $

Can you answer this question?

1 Answer

0 votes
  • The $A.M.$ between $a\:\;and\:\:b$ is $\large\frac{a+b}{2}$
Given that $\large\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$ is the $A.M.$ between $a$ and $b$.
We know that the $A.M.$ between $a\:\;and\:\:b$ is $\large\frac{a+b}{2}$
But since $a\neq b$, $a^{n-1}=b^{n-1}$
$\Rightarrow\:n-1=0$ or $n=1$
answered Feb 24, 2014 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App