question_answer

If each term of a G.P. is positive and each term is the sum of its two succeeding terms, then the common ratio of the G.P. is

A)  \[\left( \frac{\sqrt{5}-1}{2} \right)\]         

B)  \[\left( \frac{\sqrt{5}+1}{2} \right)\]     

C)  \[-\left( \frac{\sqrt{5}+1}{2} \right)\]      

D)  \[\left( \frac{1-\sqrt{5}}{2} \right)\]