Question

Three numbers are in G.P. Product of these three number is 1 then first term is​

Answer 1

Answer:

First term = A =1

Step-by-step explanation:

let three no.be A/r ,A,Ar

By solving this we get A = 1

Answer 2

Answer:

First term of the GP is 1

Step-by-step explanation:

Since the terms are in GP, they must have a common ratio. Let the common ratio be r.  

And first term be a/r  

   second term = (a/r) * r = a

   third term = (a/r) * r² = ar

As given,

their product = 1

⇒ (a/r) * a * (ar) = 1

⇒ a * a * a = 1

⇒ a³ = 1

⇒ a = 1      , as a is real .

       Hence the first term of the GP is 1