Question

the third term of a G.P is 10. them the priduct​

Answer 1

Answer:

let the GP is

a,ar,ar2,ar3,ar4

given the third term of GP is 4

that means ar2= 4

product of five first term=a5xr10

(ar2)5

=1024

Answer 2

Answer:

ANSWER

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

.