SOLUTION: the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the first 6 terms

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Question 844013: the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the first 6 terms
Answer by stanbon(75887) About Me  (Show Source):
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the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the first 6 terms 5
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S(3) = (3/2)(a + (a+2d)) = 9
D(5) = (5/2)(a + (a+4d)) = 9+16
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Rearrange:
3(2a+2d) = 18
5(2a+4d) = 50
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2a+2d = 6
2a+4d = 10
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2d = 4
d = 2
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Sequence:: 1,3,5,7,9,11
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Cheers,
Stan H.
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Solve for "a":
a + d = 3
a = 1
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