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?