Question

The third term of a G.P is 10. Then the product of first five terms is *​

Answer 1

Step-by-step explanation:

Let the common ratio be r and the terms be a,ar,ar

2

,ar

3

,ar

4

and so on in G.P.

Also, given that the third term is 4.

⇒ar

2

=4 ...(1)

Therefore, the product of the first five term is given by,

a⋅ar⋅ar

2

⋅ar

3

⋅ar

4

=a

5

r

10

⇒a⋅ar⋅ar

2

⋅ar

3

⋅ar

4

=(ar

2

)

5

From equation (1), substitute ar

2

=4; we get

a⋅ar⋅ar

2

⋅ar

3

⋅ar

4

=4

5

Thus, the product of the first five term is 4

5

.