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  • The 4th term of a G.P. is square of its second term, and the first term is minus 3. Determine its 7th term.

4.   The 4^{th} term of a G.P. is square of its second term, and the first term is -3. Determine its 7^{th} term.

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best_answer

First term =a= -3

4^{th} term of a G.P. is square of its second term

\Rightarrow a_4=(a_2)^2

\Rightarrow a.r^{4-1}=(a.r^{2-1})^2

\Rightarrow a.r^{3}=a^2.r^{2}

\Rightarrow r=a=-3

a_7=a.r^{7-1}

\Rightarrow a_7=(-3).(-3)^{6}

\Rightarrow a_7=(-3)^{7}=-2187

Thus, seventh term is -2187.

 

Posted by

seema garhwal

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