Question

some geometric means are inserted between( 1/25) and 25 find the number of geometric means if first mean:third mean =1:25​

Answer 1

Answer:

Let G

1

,G

2

,G

3

be 3

GMS both 1, & 256

then

1,G

1

,G

2

,G

3

, 256 will be in GP

Let common ratio be r

∴G

1

=r

So r

4

=256

r=±4

G

1

=±4

G

2

=±16

G

3

=±64

Answer 2

Let G¹ ,G² ,G³ be 3

GMS both 1, & 256

then,

1,G¹ ,G² ,G³ , 256 will be in GP

Let common ratio be r

∴G¹ =r

So r⁴ =256

r=±4

G¹=±4

G² =±16

G³ =±64