SOLUTION: Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest hundredth. S5=75, a5=33

Algebra ->  Sequences-and-series -> SOLUTION: Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest hundredth. S5=75, a5=33      Log On


   



Question 1075416: Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest hundredth.
S5=75, a5=33

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
an=a1+(n-1)d
a5=a1+4d=33
S5=(n/2)(a1+a5)
75=(5/2)(a1+33)
30=a1+33
a1=-3
33=-3+4d
4d=36
d=9
-3,6,15,24,33