Question

Find two geometric means between 7 and 875.

Answer 1

\[\Large\sf{7,*,*,875}\]

Answer 2

I know that much. But what do I do next?

Answer 3

In the first blank will go 7r where r is the common ratio

in the next blank will go 7r*r = 7r^2

agreed?

Answer 4

yes

Answer 5

the next term after 7r^2 is 7r^2*r = 7r^3

we know that term is 875, so, 7r^3 = 875

Answer 6

solve 7r^3 = 875 for r and use that to compute 7r and 7r^2

Answer 7

is it 35 and 175?

Answer 8

very good