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  • Find the 12 th term of a G.P. whose 8 th term is 192 and the common ratio is 2.

2.  Find the 12 ^{th} term of a G.P. whose 8 ^{th} term is 192 and the common ratio is 2.

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best_answer

First term = a

common ratio =r=2

8 ^{th} term is 192

a_n=a.r^{n-1}

a_8=a.(2)^{8-1}

192=a.(2)^{7}

a=\frac{2^6.3}{2^7}

a=\frac{3}{2}

a_n=a.r^{n-1}

a_1_2=\frac{3}{2}. ( 2 )^{12-1}

a_1_2=\frac{3}{2}. ( 2 )^{11}

a_1_2= 3. ( 2 )^{10}

a_1_2= 3072 is the 12 ^{th} term of a G.P.

Posted by

seema garhwal

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