Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; a₁ = 1
Step-by-step explanation:
Given
1, 4, 7, 10, 13, 16, ......
Note the difference in consecutive terms is constant, that is
4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3
Thus to obtain the next term in the sequence ( recursive formula )
Add 3 to the previous term
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ( with a₁ = 1 )
