n 3. Suppose that 81, 82, 83,... is a strictly increas subsequences 81, 82, 8831... and Bài th arithmetic progressions. Prove that the sequence a

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.2: Arithmetic Sequences
Problem 12.38TI: Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.
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Problem 3. Suppose that 81, 82, 83,... is a strictly increasing sequence of positive integers such
that the subsequences
801, 82, 802... and 881+1, 82+1, 883+1,...
are both arithmetic progressions. Prove that the sequence 81, 82, 83,... is itself an arithmetic pro-
gression.
Transcribed Image Text:Problem 3. Suppose that 81, 82, 83,... is a strictly increasing sequence of positive integers such that the subsequences 801, 82, 802... and 881+1, 82+1, 883+1,... are both arithmetic progressions. Prove that the sequence 81, 82, 83,... is itself an arithmetic pro- gression.
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