SOLUTION: Find the possible explicit rule for the nth term of the sequence, then find the 10th term. 1, -.5, 1/3, -1/4, 1/5,... Thank you in advance!

Algebra ->  Sequences-and-series -> SOLUTION: Find the possible explicit rule for the nth term of the sequence, then find the 10th term. 1, -.5, 1/3, -1/4, 1/5,... Thank you in advance!      Log On


   

Question 958579: Find the possible explicit rule for the nth term of the sequence, then find the 10th term.
1, -.5, 1/3, -1/4, 1/5,...
Thank you in advance!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Looks like alternating signs of reciprocals of integers,
1%2F1
-1%2F2
1%2F3
-1%2F4
.
.
.
A%5Bn%5D=%28-1%29%5E%28n%2B1%29%2Fn
A%5B10%5D=%28-1%29%5E11%2F10
A%5B10%5D=-1%2F10