Question

The second term of a G.P. is 4, then the product of the first three terms is:

• A. 16
• B. 32
• C. 48
• D. 64
• E. 128

Hint:

The product of the first three terms of a G.P. is given by \( a^3 r^3 \), where \( a \) is the first term and \( r \) is the common ratio.

Answer 1

The Correct Option is D

Let the first term be \( a \) and the common ratio be \( r \). We are given that the second term is 4, which gives: \[ a r = 4 \] The product of the first three terms is: \[ a \cdot a r \cdot a r^2 = a^3 r^3 = 64 \] Thus, the product of the first three terms is 64.