math sequences and series
posted by alicia on .
how do i solve if t1=1/2 and tn=tn1+1/n(n+1), determine an explicit formula for the general term. (hint: it is neither arithmetic nor geometric. write out the first few terms)

1) 1/2
2) 1/2 + 1/(2*3) = 1/2 + 1/6 = 2/3
3) 2/3 + 1/(3*4) = 2/3 + 1/12 = 3/4
4) 3/4 + 1/(4*5) = 15/20 + 1/20 = 4/5
LOL  See a pattern?