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such that 2,93,...,ªn, (IMO, 1987) Let T1,2,3,...,n be a sec 1 = 1. Prove that for every k> not all zero, such that |a₁| ≤ k − 1 and (k-1)v a11 + a22+...+an²n ≤

such that 2,93,...,ªn, (IMO, 1987) Let T1,2,3,...,n be a sec 1 = 1. Prove that for every k> not all zero, such that |a₁| ≤ k − 1 and (k-1)v a11 + a22+...+an²n ≤

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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bers such that 91,92,93,...,an, (IMO, 1987) Let T1,2,3,...,n be a sequence n real num- 1. Prove that for every k ≥ 2, there are integers 1² not all zero, such that laj| ≤ k-1 and |a1x1 + a₂2+. - ... .(k-1)√n + an*n|≤ kn - 1
Transcribed Image Text:bers such that 91,92,93,...,an, (IMO, 1987) Let T1,2,3,...,n be a sequence n real num- 1. Prove that for every k ≥ 2, there are integers 1² not all zero, such that laj| ≤ k-1 and |a1x1 + a₂2+. - ... .(k-1)√n + an*n|≤ kn - 1
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