A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n - 1)(8) The same sequence has the following recursive formula: an = an-1 + _____ What number belongs in the blank space in the recursive formula? A. 5 B. 3 C. 8 D. 24
From the explicit formula: an=3+(n-1)8 simplifying this we get: an=3+8n-8 an=8n-5 thus the recursive formula is: an=an-1+ the missing part is the common difference which is 8
