Question

A certain arithmetic sequence has this explicit formula for the nth term: an=12+ (n-1) (5) The same sequence has this recursive formula: an = an - 1 + _____ pleasee hurry

Answer 1

5

Explanation:

Answer 2

`a_(n) =a_(n-1) +5`

Explanation:

The given explicit formula for the nth term is:

`a_(n) =12+(n-1)5`

Replace n by n - 1, we get,

`a_(n-1) =12+[(n-1)-1]5`

`=12+(n-1)5-5`

But,
`a_(n) =12+(n-1)5`

Therefore,

`a_(n-1)=a_(n) -5`

So,
`a_(n) =a_(n-1) +5`