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a(n)= ( n +1) / 2
a( n+1 ) = ( n +1 + 1 ) /2 = ( n + 2 ) /2 ·
a(n ) - a( n +1) = ( n + 1) / 2 - ( n +2) / 2 = [ n +1 -n - 2 ] / 2 =
= - 1 / 2 numar negativ
⇒ a( n) - a( n + 1) ≤ 0
a( n) ≤ a( n +1) sir monoton crescator