Question

Find two geometric means between 7 and 875.

Answer 1

35 and 175

Answer 2

\[\frac{ x }{ 7 }=\frac{ y }{ x }=\frac{ 875 }{ y }\]

Answer 3

\[y^2=875x\] and \[7y=x^2\] \[y=\frac{ x^2 }{ 7 }\] \[\frac{ x^4 }{ 49 }=875x\]

Answer 4

\[x^3=42875=>x=35\]

Answer 5

and u can easily see the common ratio is 5, as as the sequence we took was 7,x,y,875
so, x=35, so y=175!