SOLUTION: The sum of the first 10 terms of an arithmetic progression is -145 and the common difference is 4.5. What is the value of the 6th term?
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Question 953585: The sum of the first 10 terms of an arithmetic progression is -145 and the common difference is 4.5. What is the value of the 6th term? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of the first 10 terms of an arithmetic progression is -145 and the common difference is 4.5. What is the value of the 6th term?
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Sum = (n/2)(a + L)
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5(a + a(10)) = -145
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5(a + a + 9*4.5) = -145
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2a + 40.5 = -29
2a = -69.5
a = -34.75
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Ans: a(6) = -34.75 + (5)*4.5 = -12.25
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Cheers,
Stan H.
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