Algebraic form of 5 8 11 14

Question

5,8,11,14

Position=1 2 3 4

Term =5 8 11 14

Xn=

Answer 1

the sequence is 5,8,11,14,17,20, 23,... etc

the direct formula is f(n) = 3(n-1)+ 5 =

= 3n - 3 + 5

= 3n + 2 , for n=1,2,3,4,....

the recursive formula is

f(n) = f(n-1) + 3, where f(1) = 5