1.
The recursive rule for a sequence is shown.
an=an−1+9
a1=21
What is the explicit rule for this sequence?
an=12n−9
an=9n−12
an=9n+12
an=12n+9
2.
The explicit rule for a sequence is
an=17−5n.
What is the recursive rule for the sequence?
an=an−1+12, a1=5
an=an−1−5, a1=12
an=an−1+5, a1=12
an=an−1−12, a1=5
Thanks so much for all your help.
First one :
The difference between successive terms is 9 and the first term is 21
So we must have that
a1 = 12n + 9 ⇒ a1 = 12 (1) + 9 = 21
So...the last answer is correct
Second one
an = 17 - 5n
The difference between successive terms is - 5 and the first term is 12
So we have
an = an-1 - 5
a1 = 12
Second answer