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
Question
Answer:
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
solved
general
10 months ago
5757