The sum of the squares of three distinct real numbers, which are in G.P. is . n If their sum is , show that...

Let the three distinct real numbers be in G.P. Since sum of squares of these numbers be . Sum of numbers is (1) divided by the square of&n...

The sum of the squares of three distinct real numbers, which are in G.P. is s^{2}. If their sum is \alpha s, show that \alpha^{2} \in \lbrack \frac{1}{3},1 ) \cup (1,3\rbrack: Sequence & Series (Mathematics)

The sum of the squares of three distinct real numbers, which are in G.P. is

s^{2}

. n If their sum is

\alpha s

, show that

\alpha^{2} \in \left\lbrack \frac{1}{3},1 \right) \cup (1,3\rbrack