# A sequence #{a_n}# is defined recursively, with #a_1 = 1#, #a_2=2# and, for #n>2#, #a_n = (a_(n-1))/(a_(n-2))#. How do you find the term #a_(241)#?

##### 1 Answer

#### Explanation:

First let's observe some values of the sequence to find a common trend.

As you probably notice now, the sequence repeats every

In fact, we can generalize. If

What this means that for any

In the case of