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  • The third term of G.P. is 4. The product of its first 5 terms is (A) 43 (B) 44 (C) 45 (D) None of these

The third term of G.P. is 4. The product of its first 5 terms is (A) 43 (B) 44 (C) 45 (D) None of these

Answers (1)

The third term of G.P is given T_{3}=4

\\ T_{n}=ar^{n-1} \\\\ ar^{2}=4 \\\\
Product of first 5 terms

\\= \left( a \right) \left( ar \right) \left( ar^{2} \right) \left( ar^{3} \right) \left( ar^{4} \right) \\\\ = \left( a^{5}r^{10} \right) = \left( ar^{2} \right) ^{5} \\\\ =4^{5}=1024 \\\\

Hence, correct option is c.

 

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