Respuesta :
Answer:
786432
Step-by-step explanation:keep multipying it by 2 stupid
The 19th term of the given geometric sequence is 786432.
Important information:
- Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .
Geometric Sequence:
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex] ...(i)
Where a is the first term and r is the common ratio.
In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].
Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.
[tex]a_{19}=3(2)^{19-1}[/tex]
[tex]a_{19}=3(2)^{18}[/tex]
[tex]a_{19}=3(262144)[/tex]
[tex]a_{19}=786432[/tex]
Therefore, the 19th term of the given geometric sequence is 786432.
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