SOLUTION: If the fifth term of an arithmetic sequence is 14 and second term is 5, find the 15th term. thank you

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Question 1019668: If the fifth term of an arithmetic sequence is 14 and second term is 5, find the 15th term.
thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the fifth term of an arithmetic sequence is 14 and second term is 5,
find the 15th term.
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a(2) = a + d = 5
a(5) = a + 4d = 14
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Subtract and solve for "d"::
3d = 9
d = 3
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Solve for "a"::
a = 5-d = 2
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Ans: a(15) = a + 14d
a(15) = 2 + 14*3 = 44
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Cheers,
Stan H.
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