Respuesta :

kudzordzifrancis
ANSWER

[tex]a_{55}=161[/tex]


EXPLANATION

The general term for the sequence is


[tex]a_n=-1+3(n-1)[/tex]


To find the 55th term, we have to substitute
[tex]n = 55[/tex]
in to the general term and simplify.



This implies that,

[tex]a_{55}=-1+3(55-1)[/tex]



[tex]a_{55}=-1+3(54)[/tex]




[tex]a_{55}=-1+162[/tex]



[tex]a_{55}=161[/tex]


Therefore the 55th term is 161.

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