Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

When a single number is added to each member of the sequence 20, 50, 100, the sequence becomes expressible as x,ax,a2xx, a x, a^{2} x. Find aa.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

53\frac{5}{3}.

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