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Sequences & Series
GP; product of terms
MMTS_Full_Test_21
Grade 12

Question:

The third term of a G.P. is 2. Then the product of the first five terms is
(A) $2^3$
(B) $2^4$
(C) $2^5$
(D) None of these

Step-by-Step Solution

Key Concept: In a GP with first term $a$ and ratio $r$, product of first five terms $=a^5r^{10}=(ar^2)^5=T_3^5$.
Product $=2^5=32$.
Correct Answer: (C) $2^5$

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