SOLUTION: An arithmetic sequence has 1st term 6 and common difference 624. A geometric sequence has 1st term 2 and common ratio 3. Determine an n so the nth term of the arithmetic sequence i

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Question 927793: An arithmetic sequence has 1st term 6 and common difference 624. A geometric sequence has 1st term 2 and common ratio 3. Determine an n so the nth term of the arithmetic sequence is the same as the nth term of the geometric sequence.
Answer by stanbon(75887) About Me  (Show Source):
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An arithmetic sequence has 1st term 6 and common difference 624. A geometric sequence has 1st term 2 and common ratio 3. Determine an n so the nth term of the arithmetic sequence is the same as the nth term of the geometric sequence.
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a(n) = 6 + 624n
g(n) = 2*3^n
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Solve:
6 + 624n =2*3^n
3 + 312n = 3^n
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I graped the left side and the right side on
the same set of axes and found their intersection
at n = 7
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Cheers,
Stan H.
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