Question

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

Answer 1

its C

Explanation:

Answer 2

A

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

`a_(n)` =
`a_(1)` + (n - 1 )d

where d is the common difference and
`a_(1)` the first term

here d = 10 - 8 = 8 - 6 = 6 - 4 = 2 and
`a_(1)` = 4, hence

`a_(n)` = 4 + 2(n - 1 ) = 4 + 2n - 2 = 2n + 2 → A