Respuesta :
The rule for nth term will be [tex]\rm a_n = 2\times 4^{n-1}[/tex] and the 14th term of the sequence is 134217728.
What is Geometric series ?
The series which can be written in the form of
[tex]\rm a_n = a_1 \times r^{n-1}[/tex]
nth term, a₁ is the first term, and r is the common ratio.
is called geometric series/
It is given in the question that
The first term of a geometric series is 2 and the common ratio is 4.
The rule for nth term will be
[tex]\rm a_n = 2\times 4^{n-1}[/tex]
To find the 14th term of the sequence.
[tex]\rm a_{14} = 2\times 4^{14-1}\\\\\rm a_{14} = 2\times 4^{13}\\\\a_{14}= 2 \times67108864 \\\\\\a_{14}= 134217728[/tex]
Therefore the 14th term of the sequence is 134217728.
To know more about Geometric Series
https://brainly.com/question/4617980
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