Question

if a^n+1 + b^n+1/ a^n +b^n is the arithmetic mean between two number a and b find the value of n

Answer 1

Answer:

hope this is helpful to you.

thanks

Answer 2

Answer:

Answer:

n = 0

Step-by-step explanation:

(aⁿ⁺¹ + bⁿ⁺¹)/(aⁿ + bⁿ) is mean between a & b

Mean of a & b = ( a + b)/2

=> (aⁿ⁺¹ + bⁿ⁺¹)/(aⁿ + bⁿ) = ( 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

=> n = 0 or a = b...

hope you understand the concept...