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0 votes
1.2k views
in Linear Equations by (23.6k points)
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If a1, a2, ....., an are distinct positive real numbers such that a1 + a2 + ..... + an = 1, then \(\frac{1}{a_1}+\frac1{a_2}+.....+\frac{1}{a_n}\) is

(a) > n 

(b) > n2 

(c) > \(\frac1n\) 

(d) > n3

1 Answer

+1 vote
by (24.0k points)
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Best answer

(a) > n

AM of mth powers > mth of AM, when m < 0 or m > 1

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