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Question 69103: When the points scored by six basketball players during a game were arranged in order, the difference between any two consecutive totals was 9. The average of the six players' points was 36.5. How many points were scored by the hightest scoring player?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When the points scored by six basketball players during a game were arranged in order, the difference between any two consecutive totals was 9. The average of the six players' points was 36.5. How many points were scored by the hightest scoring player?
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It's an arithmetic sequence with d=9
To get the average you need the Sum/6 or Sum=6*average
S(6)=(6/2)(a+l), where a is the 1st term and l is the last.
last term= a+5d = a+5*9 = a+45
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Substitute that into the Sum equation to get:
S(6)=(3)(a+a+45)=6*average
3(2a+45)=219
6a+1135=219
6a=84
a=16
The last=a+45=16+45=61
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The highest scoring player scored 61 points.
Cheers,
Stan H.
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