Latest Maths Olympiad Aptitude Question SOLUTION: Suppose hx1, x2, . . . , xn, . . .i is a sequence of positive real numbers such that x1 x2 x3 x^n , and for all n x1^1+x4^2+x9^3+..... +xn^2 n 1. Show that for all k the follo

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(#M40021947) MATHS OLYMPIAD question ALGEBRA Keep an EYE

Suppose hx1, x2, . . . , xn, . . .i is a sequence of positive real numbers such that x1 x2
x3 x^n , and for all n
x1^1+x4^2+x9^3+..... +xn^2
n 1.
Show that for all k the following inequality is satisfied:
x1^1+x2^2+x3^3+ ...... +xk^k
n 3.

Asked In Maths Olympiad MAN (10 years ago)

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