Question

(10) Insert two numbers between 1 and 256 so that the resulting sequence is a G.P.
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Let, g

1

,g

2

,g

3

be 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

Step-by-step explanation:

Hence, the required are 4, 16, 64.