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the third term of geometric progression is 4 the product of first five terms is


Divya 5th Jun, 2020
Answer (1)
ADITYA KUMAR Student Expert 5th Jun, 2020

Hi

Let the first term of a G.P is a while  r is the common ratio.
Then,
The First 5 terms of G.P will be given by a,ar, ar^2,ar^3,ar^4
Then,
∴ Third term of the GP=ar^2
Now, we have
Product of first five terms =
a*(ar)*(ar^2)*(ar^3)*(ar^4) = a^5r^10
= (ar^2)^5
= 4^5
= 1024.

Thus , the product of first 5 terms is 1024

Thank you

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