A G.P consisting of terms with positive terms. If each term is equal to the sum of the next two terms, then the common ratio of G.P is

Given that in a geometric progression, each term is equal to the sum of the next two terms  it implies that  an=an+1+an+2 arn-1=arn+arn+1 cancel out the common factors  we get r2+r-1=0 Solving the quadratic equation  we get  r=-1±52 Since all the terms are positive take positive common ratio  therefore, r= 5-12