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Prove that if the sequence {a_n//b_n} {b_n gt 0} is monotonic, then the sequence. {(a_(1)+a_(2)+.....+a_(n))/(b_1+b_2+.....+b_n)} will also be monotonic.

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Answer :If the SEQUENCES `a_n/b_n` INCREASES, then `a_i/b_i LT (a_(N+1))/(a_(n+1)) ie, b_(n+1) a_(i) lt a_(n+1) b(i=,2,...n)`


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