Year in a sequence (3)

Algebra Level pending

In a certain sequence, $a_n$ is defined as $a_n=a_{n-1}+2017$ for all $n\ge 2$ .

What is the positive difference between $a_{2007}$ and $a_{2017}?$

1 solution

Hana Wehbi
Jul 7, 2017

Each term exceeds the preceding term by $2017$ . Since there are $10$ terms between $a_{2007}$ and $a_{2017}\implies 10\times 2017= \boxed{20170}$