A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n β 1)(8) The same sequence has the following recursive formula: an = an β 1 + _____ What number belongs in the blank space in the recursive formula
Accepted Solution
A:
From the explicit formula: a=3 an=3+(n-1)8 an=3+8n-8 an=8n-5 thus: a2=11, a3=19 Thus the sequence 3,11,19... thus the recursive formula will be: an=a(n-1)+8 a1=3 Thus the missing value is: 8