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Omni-MATH / When a single number is added to each member of the sequence 20, 50, 100, the…

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problem

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.
Plain-text mathematical notation (without MathML)
When a single number is added to each member of the sequence 20, 50, 100, the sequence becomes expressible as x,ax,a²x. Find a.
Original LaTeX notation
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 $a$.

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