Correct Answer - Option 3 : 4
5
Concept:
Let us consider sequence a1, a2, a3 …. an is a G.P.
- Common ratio = r = \(\frac{{{{\rm{a}}_2}}}{{{{\rm{a}}_1}}} = \frac{{{{\rm{a}}_3}}}{{{{\rm{a}}_2}}} = \ldots = \frac{{{{\rm{a}}_{\rm{n}}}}}{{{{\rm{a}}_{{\rm{n}} - 1}}}}\)
- nth term of the G.P. is an = arn−1
Calculation:
Given: Third term of GP = 4
So, a3 = ar2 = 4
Now, product of five time term is given by = a × ar × ar2 × ar3 ×ar4
= a5r10
= (ar2)5
= 45