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  • Which term of the following sequences: 3 ^ 1/ 2 3 3 3^ 1/ 2 is 729

5(b)   Which term of the following sequences: 

               \sqrt 3 ,3 , 3 \sqrt 3 ,...is \: \: 729 ?

Answers (1)

best_answer

Given :  GP=\sqrt 3 ,3 , 3 \sqrt 3 ,........

a=\sqrt{3}\, \, \, \, \, and \, \, \, \, \, r=\frac{3}{\sqrt{3}}=\sqrt{3}

n th term is given as 729.

a_n=a.r^{n-1}

\Rightarrow 729=\sqrt{3}.(\sqrt{3})^{n-1}

\Rightarrow 729=(\sqrt{3})^{n}

\Rightarrow( \sqrt{3})^1^2=(\sqrt{3})^{n}

\Rightarrow n=12

The, 12 th term is 729.

Posted by

seema garhwal

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