Help plz consider the sequence {4,6,8,10...}Find the explicit formula that defines the sequence. A) an = 2n + 2 B) an = 2n + 4 C) an = 4n + 2 D) an = 4n + 4

Respuesta :

A

this is an arithmetic sequence whose n th term ( explicit formula) is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = 10 - 8 = 8 - 6 = 6 - 4 = 2 and [tex]a_{1}[/tex] = 4, hence

[tex]a_{n}[/tex] = 4 + 2(n - 1 ) = 4 + 2n - 2 = 2n + 2 → A


Answer:

its C

Step-by-step explanation:

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