The three expressions are the first three terms of an arithmetic progression

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The three expressions 2x2, 3x+1, 5x−12x^{2},\,3x+1,\,5x-1 are the first three terms of an arithmetic progression. What is the positive value of xx? (a) 11 (b) 32\dfrac{3}{2} (c) 33 (d) 22

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