An algebra problem by Srideep Bhattacharya

Algebra Level pending

Let $t_{1},t_{2},...$ up to 20 terms , be positive real numbers such that

401 > $(t_{1} +t_{2}+ \cdots ) (\frac1t_{1} +\frac1t_{2}+... +\frac1t_{20})$

    Then which of the following options is incorrect ?

t_{1}> (1/2)\sqrt{t_{2} t_{3}}

t_{1}<2 \sqrt{t_{2} t_{3}}

t_{i}<t_{j}+t_{k}

for all x,y,z with 1

\leq i<j<k\leq 20

(t_{1})^2 >5 t_{1}t_{2}

0 solutions

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