Answer:
Explanation:
This is an arithmetic sequence.
-5, 1 , 7 , 13 ,.....
First term = a = -5
Common difference = d = second term - first term
= 1 - [-5] = 1 + 5
= 6
Next term = previous term + d
= 13 + 6 = 19
nth term = a +(n-1)*d
= -5 + (n-1)*6
= -5 + 6n - 6 {add like terms}
= -5 - 6 + 6n
= -11 + 6n
Pattern: 6n -11