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  • Tell me? Fifth term of an GP is 2, then the product of its 9 terms is

Fifth term of an GP is 2, then the product of its 9 terms is

  • Option 1)

    256

  • Option 2)

    512

  • Option 3)

    1024

  • Option 4)

    none.

 

Answers (2)

best_answer

As we learnt in 

Common ratio of a GP (r) -

The ratio of two consecutive terms of a GP

- wherein

eg: in 2, 4, 8, 16, - - - - - - -

r = 2

and in 100, 10, 1, 1/10 - - - - - - -

r = 1/10

 

 Given ar^{4}= 2

Now

\Rightarrow a\times ar\times ar^{2}\times \cdot \cdot \cdot ar^{8}

= a^{9}\cdot r^{1=2+3+....8}

= a^{9}\cdot r\tfrac{8\times 9}{2}= a^{9}r^{36}= \left ( ar^{4} \right )^{9}= 2^{9}= 512


Option 1)

256

This option is incorrect.

Option 2)

512

This option is correct.

Option 3)

1024

This option is incorrect.

Option 4)

none.

This option is incorrect.

Posted by

prateek

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JEE Main high-scoring chapters and topics

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512

 

Posted by

Shubham Gupta

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