Question

the third term of G.P is 10 then the product of first five terms is
a.1000
b.10000
c.100
d.100000​

Answer 1

Let the common ratio be r and the terms be a,ar,ar²,ar³,ar⁴ and so on in G.P.

Also, given that the third term is 10.

⇒ar²=10     ...(1)

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

a⋅ar⋅ar²⋅ar³⋅ar⁴=a⁵r¹⁰

⇒a⋅ar⋅ar²⋅ar³⋅ar⁴=(ar²)⁵

From equation (1), substitute ar²=10; we get

a⋅ar⋅ar²⋅ar³⋅ar⁴=10⁵

Thus, the product of the first five term is 10⁵=100,000.

Therefore, option d is correct.

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Answer 2

Step-by-step explanation:

10000

b is correct answer