Question

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

Answer 1

you have to add it then divide it 

Answer 2

The explicit rule for the sequence is
`a_(n)=14-9n`

Let us put n=1, we get

`a_(1)=14-(9 * 1)=5`

Now let n=2,

`a_(2)=14-(9 * 2)=-4`

Let n=3,

`a_(3)=14-(9 * 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`.