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

Answer:

$a_{n} =a_{n-1} +5$

Step-by-step 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, $a_{n} =a_{n-1} +5$