Given:-
[tex]3,12,48,\ldots[/tex]To find:-
The 11th term.
So observing the pattern its clear that the term is increasing by multiplying with 4. so we get the fourth term as,
[tex]48\times4=192[/tex]So the fifth term is,
[tex]192\times4=768[/tex]So the sixth term is,
[tex]768\times4=3072[/tex]So the seventh term is,
[tex]3072\times4=12288[/tex]So the eigthth term is,
[tex]12288\times4=49152[/tex]So the ninth term is,
[tex]49152\times4=196608[/tex]So the tenth term is,
[tex]196608\times4=786432[/tex]So the eleventh term is,
[tex]786432\times4=3145728[/tex]So the required 11th term is 3145728.
