Geometric Mean
- Geometric Mean = $$\sqrt[n]{x_{1}*x_{2}*x_{3}…x_{n}}$$
- If a, b, c,...n terms are in G.P then G.M=$$\sqrt[n]{a \times b \times c \times...n terms}$$
- If two numbers a,b are in G.P then their G.M= $$\sqrt{a \times b}$$
- Inserting 'n' means between two quantities a and b with common ration 'r'
- Then the number of terms are n+2 and a, b are the first and last terms
- $$r^{n+1}=\frac{b}{a}$$ or r=$$\frac{\sqrt[n+1]{b}}{a}$$
- The final series is a, ar, $$ar^{2}$$,...
