The numbers 4x,2x−3,4x−3 are three consecutive terms in an arithmetic sequence. What is the value of x?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
Since 4x,2x−3,4x−3 form an arithmetic sequence, then the differences between consecutive terms are equal, or (2x−3)−4x=(4x−3)−(2x−3). Thus, −2x−3=2x or 4x=−3 and so x=−43.
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