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ASU 239 All Soviet Union MO 1977 b_n=a_{n+1}-a_n/2 ->0 => a_n ->0

Source:

July 6, 2019
limitalgebraSequence

Problem Statement

Given infinite sequence ana_n. It is known that the limit of bn=an+1−an/2b_n=a_{n+1}-a_n/2 equals zero. Prove that the limit of ana_n equals zero.
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