Answer
Find out the 6th term in the geometric series.
To prove
As given the geometric series be
[tex]a_{n} = 3\times 4^{n -1}[/tex]
Put n = 6 in the above equations
Thus
[tex]a_{6} = 3\times 4^{6 -1}[/tex]
[tex]a_{6} = 3\times 4^{5}[/tex]
[tex]a_{6} = 3\times 1024[/tex]
[tex]a_{6} = 3072[/tex]
Therefore the 6th term of the geometric series is 3072 .
Thus option (A) is correct.
