Three unequal real numbers form an equal difference sequence, and then form an equal ratio sequence after proper exchange of positions, so as to find the common ratio of the equal ratio sequence
Let these three numbers be a, AQ, AQ & # 178;, (a ≠ 0, Q ≠ 1)
Then it becomes an arithmetic sequence after proper interaction
1)a+aq=2aq²
The solution is q = - 1 / 2 or q = 1 (rounding off)
2)aq+aq²=2a
The solution is q = - 2 or q = 1 (rounding off)
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