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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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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