SOLUTION: Suppose 5 prizes are going to be awarded. If 1st prize is $150 while 3rd prize is $104.50 and the prizes are in arithmetic sequence, how much prize money was given away?

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Question 28770: Suppose 5 prizes are going to be awarded. If 1st prize is $150 while 3rd prize is $104.50 and the prizes are in arithmetic sequence, how much prize money was given away?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
First = 150
second = 172.75 ...
Use the squence formula:
S%5B5%5D=%28n%2F2%29%282a%2B%28n-1%29d%29 n = 5, a = 150, d = 22.75
S%5B5%5D=%285%2F2%29%282%2A150%2B22.75%285-1%29%29
S%5B5%5D=3.5%28300%2B22.75%284%29%29
S%5B5%5D=3.5%28300%2B91%29
S%5B5%5D=3.5%28391%29
S%5B5%5D=1368.5

Hence, there are $1368.5 in the prizes.
Paul.