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
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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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