Mathematics

Problem

k

geometric means are inserted between two positive numbers

a

and

b

(a\neq0)

so that

a,\,G_1,\dots,G_k,\,b

form a geometric progression, what is the common ratio of the progression? a)

(b/a)^{1/k}

(b/a)^{1/(k+1)}

\sqrt{\,b/a\,}

1+\dfrac{b-a}{a\,(k+1)}