Let a₁ ,a₂ ,........,a_n be an Arithmetic Progression with positive terms .

Let b₁ ,b₂ ,........,b_n be a Geometric Progression with positive terms ,such that :

a₁ = b₁ and a_n = b_n

Show that the sum of the terms of the Arithmetic progression is greater or equal to the sum of the terms of the Geometric progression.
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