Question

solve the given question please​

Answer 1

SEE THE ATTACHMENT YOUR ANSWER IS THIS AND I THINK IT IS CORRECT

#TOGETHER WE GO FAR✔✔

Answer 2

$\mathfrak{\huge{\purple {\underline{\underline{AnswEr :}}}}}$

Given :

$\large\frac{(a^{n+1} + b^{n+1})}{(a^{n} + b^{n})}$ is mean between a & b

Mean of a & b =  ( a + b)/2

Solutions :

✿ $\large\frac{(a^{n+1} + b^{n+1})}{(a^{n} + b^{n})}$ = $\large\frac{(a+b)}{2}$

✿ 2aⁿ⁺¹ +2bⁿ⁺¹ = aⁿ⁺¹ +bⁿ⁺¹ +baⁿ +bⁿa

✿ aⁿ⁺¹ + bⁿ⁺¹ = baⁿ + bⁿa

✿ aⁿ(a - b) = bⁿ(a - b)

✿ aⁿ = bⁿ

✿ (a/b)ⁿ = 1

✿ $\large{\boxed{\red{n=0\:\:or,\:\:a=b}}}$