SOLUTION: What are the first three terms of the arithmetic sequence if the 25th term is 35 and the 30th term is 5.?

Question 1053690: What are the first three terms of the arithmetic sequence if the 25th term is 35 and the 30th term is 5.?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What are the first three terms of the arithmetic sequence if the 25th term is 35 and the 30th term is 5.?
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a(25) = a(1) + 24d = 35
a(30) = a(1) + 29d = 5
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Subtract and solve for "d":
5d = -30
d = -6
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Solve for a(1)::
a(1) + 24(-6) = 35
a(1) + -144 = 35
a(1) = 179
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a(2) = 179 -6 = 173
a(3) = 179 + 2(-6) = 167
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Cheers,
Stan H.
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