Question

The explicit rule for a sequence is an=14-9n What is the recursive rule for the sequence?

Answer 1

The explicit rule for the sequence is $a_{n}=14-9n$

Let us put n=1, we get

$a_{1}=14-(9 \times 1)=5$

Now let n=2,

$a_{2}=14-(9 \times 2)=-4$

Let n=3,

$a_{3}=14-(9 \times 3)=-13$

Similarly, in this manner we obtain a sequence as

5, -4, -13, -22,.....

Since we can clearly observe that the first term is '5' and common difference is '-9'.

So, we get recursive rule for the sequence as:

$a_{n}=a_{n-1}-9$ , where $a_{1}=5$.

Answer 2

You have to add it then divide it