Enter any two positive numbers, one for [math]a_1[/math] and another for [math]a_2[/math]. Perform the iterations [math]a_{n+2}=\frac{a_{n+1} +1}{a_n}[/math] until you find values for the next five terms in the sequence.
Do the two starting numbers need to be positive? Are there any numbers that can [i]not[/i] be used as starting numbers? Does the pattern in the iteration above always hold?
