I am working on some calculus homework and need some tips on how to find the formula for the nth term in a sequence. I have been able to complete most of my homework problems using a 'guess and check' type method when finding the formulas, but there is one that is giving me a lot of trouble.
The sequence is:
{-3/2, -1/6, 1/12, 3/20, 5/30 ...}
As far as my own work goes I have noticed:
-3/2 + 4/3 = - 1/6
-1/6 + 1/4 = 1/12
1/12 + 1/15 = 3/20
3/20 + 1/60 = 5/30
But I can't find a pattern there. Any help is appreciated.
The sequence is:
{-3/2, -1/6, 1/12, 3/20, 5/30 ...}
As far as my own work goes I have noticed:
-3/2 + 4/3 = - 1/6
-1/6 + 1/4 = 1/12
1/12 + 1/15 = 3/20
3/20 + 1/60 = 5/30
But I can't find a pattern there. Any help is appreciated.