Question 857752: can you help me to find three numbers which are in arithmetic series and in geometric series and the common difference or common ratio should not be zero
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! can you help me to find three numbers which are in arithmetic series and in geometric series and the common difference or common ratio should not be zero
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Arithmetic Sequence:: a, a+d, a+2d
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If that is also a geometric sequence,
(a+d)/a = (a+2d)/(a+d)
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(a+d)^2 = a(a+2d)
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a^2 + 2ad + d^2 = a^2 + 2ad
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d^2 = 0
d = 0
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Then the arithmetic sequence = a,a,a
which is not an aritmetic sequence.
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Answer to your question. There is no answer.
Cheers,
Stan H.
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