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Omni-MATH / Suppose x and y are real numbers such that −1<x<y<1. Let G be the sum of the geometric series whose first term is x and whose ratio is y, and let G^{prime} be the sum of the geomet…

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problem

Suppose xx and yy are real numbers such that −1<x<y<1-1<x<y<1. Let GG be the sum of the geometric series whose first term is xx and whose ratio is yy, and let $G^{\prime}$ be the sum of the geometric series whose first term is yy and ratio is xx. If $G=G^{\prime}$, find x+yx+y.
Plain-text mathematical notation (without MathML)
Suppose x and y are real numbers such that −1<x<y<1. Let G be the sum of the geometric series whose first term is x and whose ratio is y, and let $G^{\prime}$ be the sum of the geometric series whose first term is y and ratio is x. If $G=G^{\prime}$, find x+y.
Original LaTeX notation
Suppose $x$ and $y$ are real numbers such that $-1<x<y<1$. Let $G$ be the sum of the geometric series whose first term is $x$ and whose ratio is $y$, and let $G^{\prime}$ be the sum of the geometric series whose first term is $y$ and ratio is $x$. If $G=G^{\prime}$, find $x+y$.

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Source and history

task_id
594f39c3-fed7-5177-8fc6-b3c36453a627
task_key
test--594f39c3-fed7-5177-8fc6-b3c36453a627
task_revision_id
1
config / split
/ test

Official source

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