If a, b, c are three positive numbers in H.P., show that a^2+c^2>2b^2
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Since a,b,c are three positive number.
Let
a=1
b=2
c=3
a²+c²>2b²
=)1²+3²>2.2²
=)1+9>2.4
=)10>8
therefore
a²+c²>2b²
proved.
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