SOLUTION: Two terms of an arithmetic sequence are a5=11 and a32=65. Find a rule for the nth term.

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Question 872908: Two terms of an arithmetic sequence are a5=11 and a32=65. Find a rule for the nth term.
Answer by stanbon(75887) About Me  (Show Source):
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Two terms of an arithmetic sequence are a5=11 and a32=65. Find a rule for the nth term.
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a(1)+4d = 11
a(1)+31d = 65
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Substract to solve for "d":
27d = 54
d = 2
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Solve for a(1)::
a(1) + 4*2 = 11
a(1) = 3
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General term::
a(n) = 3 + (n-1)2
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Cheers,
Stan H.
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