Plz consider the sequence {4,6,8,}find the explicit formula that defines the sequence. a) an = 2n + 2 b) an = 2n + 4 c) an = 4n + 2 d) an = 4n + 4

A

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

= + (n - 1 )d

where d is the common difference and the first term

here d = 10 - 8 = 8 - 6 = 6 - 4 = 2 and = 4, hence

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

5

step-by-step explanation: