Answer:
The nth term for the arithmetic sequence is given by:
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A certain arithmetic sequence has the following explicit formula for the nth term:
⇒ and d = 6
The recursive formula for the arithmetic sequence is given by:
Substitute the given values we have;
⇒the following recursive formula is,
Therefore, the number belongs in the blank space in the recursive formula is, 6