SOLUTION: Find the nth term of the A.Ps 1/2, 3/4. 1.......

Algebra ->  Sequences-and-series -> SOLUTION: Find the nth term of the A.Ps 1/2, 3/4. 1.......      Log On


   

Question 975031: Find the nth term of the A.Ps 1/2, 3/4. 1.......
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
1-3%2F4=1%2F4 and 3%2F4-1%2F2=1%2F4 ,
so the common difference of this A.P. (Arithmetic Progression, or arithmetic sequence) is
d=1%2F4 .
The first term is, obviously a%5B1%5D=1%2F2 .
So, as for all AP's the nth term is
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ,
in this case
a%5Bn%5D=1%2F2%2B%28n-1%29%281%2F4%29 .
It may be easier to calculate as
a%5Bn%5D=%28n%2B1%29%281%2F4%29 , because