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The third term of a GP is 3 . What is the product of the first five terms?

Options

  1. A216
  2. B226
  3. C243
  4. DCannot be determined due to insufficient data

Correct answer

C. 243

Step-by-step solution

Given, 3^ rd term of G.P. =3 Let ' a ' be the first term and ' r ' be the common ratio. ar ^2=3 We know, T ₁= a , T ₂= ar , T ₃= ar ^2, ~T ₄= ar ^3, ~T ₅= ar ^4 aligned & T ₁ ~T ₂ ~T ₃ ~T ₄ ~T ₅=( a )( ar ) ( ar ^2 ) ( ar ^3 ) ( ar ^4 ) & = a ^5 r ¹⁰= ( ar ^2 )^5=3^5=243 aligned

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