has anybody ever found out to do these problems:
Find 1/(1*1)+1/(1*2)+1/(2*3)+1/(3*5)+1/(5*8)+....
or another one: 5/(3*5)-5/(5*8)+5/(8*13)-5/(13*21)+5/(21*34)-....
and there's some corny problems like: The first fibonacci terms are 1,1,2,3,5,8,.... what is the 10th lucas number? What the crap do they have in common?