Correct Answer - Option 2 : 243
Concept:
Let us consider sequence a1, a2, a3 …. an is a G.P.
Common ratio = r = \(\rm a_2\over a_1 \) = \(\rm a_3\over a_2 \) = \(\rm a_n\over a_{n-1} \)
Calculation:
Consider,
(a = 3) be the 3rd term of the G.P series,
So, we can write the five terms as,
\(\rm a\over r^2\), \(\rm a\over r\), a, ar, ar2
So, the product of the five terms (P) will be,
P = \(\rm a\over r^2\) × \(\rm a\over r\) × a × ar × ar2 = a5
Since,
a = 3,
∴ The product of the first five terms (P) = 35 = 243