Question

Insert two numbers between 1 and 256 so that the resulting sequence is a G.P.​

Answer 1

Answer:

Let, g1 ,g2 ,g3

let the three numbers between 1 and 256

1,g

1

,g

2

,g

3

,256 are in G.P

First term a=1

5

th

term =256

⟹ar

4

=256

⟹(1)r

4

=256

⟹r

4

=4

4

∴r=4

Now, g

1

=ar=1×4=4

g

2

=ar

2

=1×4

2

=16

g

3

=ar

3

=1×4

3

=64

The required numbers are 4,16,64