Question

Find a formula for the general term An of the sequence,
assuming that the pattern of the first few terms continues.

(5,8,11,14,17,...)

Answer 1

Well, you know that formula of arithmetical sequance is \[a _{n}=a _{1}+(n-1)d\]

a1=5 a2=8
d can be found
d=a2-a1=8-5=3

so you get \[a _{n}=a _{1}+(n-1)d=5+(n-1)3=5+3n-3=\]