SOLUTION: a1=? a2=4/15 a3=? a4=? a5-3/5 a6=? a7=? a8=-24/15

Algebra ->  Sequences-and-series -> SOLUTION: a1=? a2=4/15 a3=? a4=? a5-3/5 a6=? a7=? a8=-24/15      Log On


   

Question 1018520: a1=?
a2=4/15
a3=?
a4=?
a5-3/5
a6=?
a7=?
a8=-24/15
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

You've overconstrained the system.
You have three equations but only two unknowns.
Here's the solution only using a%5B2%5D and a%5B8%5D
Check the problem setup and repost.
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a%5B2%5D=a%5B1%5D%2B%282-1%29%2Ad=4%2F15
1.a%5B1%5D%2Bd=4%2F15
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a%5B8%5D=a%5B1%5D%2B%288-1%29%2Ad=-24%2F15
2.a%5B1%5D%2B7d=-24%2F15
Subtract eq. 1 from eq. 2,
a%5B1%5D%2B7d-a%5B1%5D-d=-24%2F15-4%2F15
6d=-28%2F15
d=-14%2F45
Then use either equation to solve for a%5B1%5D.
a%5B1%5D%2B%28-14%2F45%29=4%2F15
a%5B1%5D=12%2F45%2B14%2F45
a%5B1%5D=26%2F45