Question

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

Answer 1

Hope it will help you

Answer 2

Answer:

12th term of G.P is 3072

Step-by-step explanation:

According to this question

We have been given that

$T_8$ = 192 and ration r = 2 then we can find the value of $T_{12}$ = ?

Now, $T_8$ = 192

In G.P  $T_8$ = $a\times r^7$

$a\times r^7$ = 192

$a\times 2^7$ = 192

a = $\frac{192}{128}$

a = $\frac{3}{2}$

Then, $T_{12}$ = $a\times r^{11}$

$T_{12}$ = $\frac{3}{2}\times 2^{11}$

$T_{12}$ = $3\times 2^{11 - 1}$

$T_{12}$ = $3\times 2^{10}$

$T_{12}$ = $3\times 1024$

$T_{12}$ = $3072$

12th term of G.P is 3072