a_1 , a_2 ,...,a_n are mutually distinct
and is a am sequence .
if a_( 1) +a_( 2) +...+a_n =A
and
a_1 ^( 2) + a_2 ^2 +..+ a_n ^( 2) = B
find the am sequence.
Show that for all a,b∈R
i) ab≤(1/2)(a^2 +b^2 )
ii) (((a+b)/2))^2 ≤(a^2 +b^2 )
iii) (√(ab))≤(1/2)(a+b), for a,b≥0 such that
a and b have square roots.
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