Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.0 AMC 10/12 Find the answer United States

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

Your answer

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

Solution

Solution:
$\frac{5}{3}$ .

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.