1. ## Sequences

Problem 1

Recursion formula: a(subscript:n+2)=a(subscript:n+1)/a(subscript:n)

a(subscript:1)= 2
a(subscript:2)= -1
a(subscript:3)= ?

How would you find the next term in the sequence?

Problem 2

The sequence 1, -1/4, 1/9, -1/16, 1/25.....
(reciprocals of squares of the positive integers, with alternating signs)

what would the formula for the nth term of the sequence be?

2. $a_3 = \frac{{a_{3 - 1} }}
{{a_{3 - 2} }} = \frac{{a_2 }}
{{a_1 }}
$