NDA2018MathematicsSequences and SeriesActual
If x _ i 0, y _ i 0( i =1,2,3 n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of X Y is
Options
- AP Q
- Bantilog ( P Q )
- Cn ( P - Q )
- Dn ( P + Q )
Correct answer
B. antilog ( P Q )
Step-by-step solution
aligned & (x₁ x₂ x_n )^ 1 / n = P & (y₁ y₂ y_n )^ 1 / n = Q & ( x₁ x₂ x_n y₁ y₂ y_n )^ 1 / n = (x₁ x₂ x_n )^ 1 / n (y₁ y₂ y_n )^ 1 / n = P Q aligned