Find the value of n so that may be the geometric mean between a and b.

Open in App

Solution

G. M. of a and b is .

By the given condition,

Squaring both sides, we obtain

Suggest Corrections

Similar questions

Find the value of n so that $\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}$ may be the geometric mean between a and b.

n

\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}

n

\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}

a

b

Find the value of n, so that $\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}$ is the geometric mean between a and b

If f is a function satisfying $f (x + y) = f (x) f (y)$ for all $x, y \in N$ such that f(1)=3 and $\sum_{x = 1}^{n} f (x) = 120$ find the value of n.

\frac{(y^{3} + z^{3})}{(x y z)}

Join BYJU'S Learning Program