Question

If 5th term of a GP is 3√3 then product of 1st 9 terms is

Answer 1

Given: 5th term of a Geometric Progression is 3√3

To find: The product of 1st 9 terms?

Solution:

• Now we have given 5th term as 3√3.

             ar^4 = 3√3

• Now the series of Geometric Progression is:

             = a x ar x ar^2 x ar^3 x ar^4 x ar^5 x ar^6 x ar^7 x ar^8

             = a^9r^36

• Now (ar^4)^9 =  a^9r^36

• So putting the value in this, we get:

             = (3√3)^9 = a^9r^36

             = a^9r^36 = 19683 x 81√3

             = a^9r^36 = 1594323√3

Answer:

          The product of 1st 9 terms is 1594323√3.