Sequences And Series Ques 66

The third term of a geometric progression is 4$$ . The product of the first five terms is

(a) $4^{3}$

(b) $4^{5}$

(c) $4^{4}$

(d) None of these

(1982, 2M)

Show Answer

Answer:

Correct Answer: 66.(b)

Solution:

Formula:

Geometric Progression:

  1. Here, $t _3=4 \Rightarrow a r^{2}=4$

$\therefore$ Product of first five terms $=a \cdot a r \cdot a r^{2} \cdot a r^{3} \cdot a r^{4}$

$ =a^{5} r^{10}=\left(a r^{2}\right)^{5}=4^{5} $



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