The integers from 1 to 37 are written down, in some order, in one long row. Prove that it is possible to find seven of them that are in increasing order, or seven that are in decreasing order. (These numbers may not be right next to each other. Hint: one of the in-class exercises mentioned increasing/decreasing sequences.)

The integers from 1 to 37 are written down, in some order, in one long row. Prove that it is possible to find seven of them that are in increasing order, or seven that are in decreasing order. (These numbers may not be right next to each other. Hint: one of the in-class exercises mentioned increasing/decreasing sequences.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

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