SOLUTION: Write a rule for the nth term of the arithmetic sequence that has the terms a3=17 and a14=50.

Question 992553: Write a rule for the nth term of the arithmetic sequence that has the
terms a3=17 and a14=50.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write a rule for the nth term of the arithmetic sequence that has the
terms a3=17 and a14=50.
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a(3) = a(1)+2d = 17
a(14)= a(1)+13d= 50
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Subtract and solve for "d":
11d = 33
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d = 3
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Solve for a(1)::
a(1) +2*3 = 17
a(1) = 11
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Ans: a(n) = 11+(n-1)3
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Cheers,
Stan H.
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