Quote:well, the sequence is infinite. 5, 4, 9, 13, 22, ... and what does the 'y' mean? Does it mean the same thing as 'term?' Also, is that y(n) = y(n-2) + y(n-1) a set equation or is it one for the problem?
yes, it is an infinite series...and it's sum (the sequence) is an infinite number.
y(x) is how we define functions, the letters are arbitrary. the first letter (in this case y) is the dependent variable (ie, the output) and x is the independent varaible (ie, the input)
I would think that if you were asked to find an equation for the series you would already have learned about functions...?
anyway, so no, it is not the same as a term. but if you substitute n into the independent variable, the dependent variable will represent the nth term of the series...this is how a discrete function works