G3 Let A₁, A2, A3, ..., A,, are n points in a plane whose coordinatesare (x₁, y₁), (x₂, y₂), ..., (x, yn), respectively. A,A2 is bisectedat the point P₁, P₁4, is divided in the ratio 1: 2 at P2, P244is divided in the ratio 1: 3 at P3, P3A, is divided in the ratio1:4 at P4 and so on until all n points are exhausted. Find thecoordinates of the final point so obtained.

Answered: Image /qna-images/answer/4cb0716c-4575-444a-ad86-dcb869b1dde5.jpg

Let A₁, A2, A3,..., A,, are n points in a plane whose co are (x₁, y₁), (x2, y2),..., (x, y), respectively. A,A2 is at the point P₁, P₁4, is divided in the ratio 1: 2 at is divided in the ratio 1:3 at P3, P3A, is divided in 14 at P. and so on until all n points are exhausted

Let A₁, A2, A3,..., A,, are n points in a plane whose co are (x₁, y₁), (x2, y2),..., (x, y), respectively. A,A2 is at the point P₁, P₁4, is divided in the ratio 1: 2 at is divided in the ratio 1:3 at P3, P3A, is divided in 14 at P. and so on until all n points are exhausted

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...

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Question

Let A₁, A2, A3, ..., A,, are n points in a plane whose coordinates
are (x₁, y₁), (x₂, y₂), ..., (x, yn), respectively. A,A2 is bisected
at the point P₁, P₁4, is divided in the ratio 1: 2 at P2, P244
is divided in the ratio 1: 3 at P3, P3A, is divided in the ratio
1:4 at P4 and so on until all n points are exhausted. Find the
coordinates of the final point so obtained.

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