Answer:
I'd rather use an explicit rule for bigger values of n
Step-by-step explanation:
Suppose we have a sequence like:
6,14,22,30,..
And we wanted to calculate the 200th term. The recursive rule is:
[tex]a_n=a_{n-1}+8[/tex]
Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.
The explicit rule is:
[tex]a_n=6+8(n-1)[/tex]
To find the term for n=200, just substitute into the rule:
[tex]a_{200}=6+8(200-1)=1598[/tex]
Thus, I'd rather use an explicit rule for bigger values of n
