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are 51 software students taking Let pi, p2,.. Psi be their final cam scores. Hence, cach p, is an integer and 1 < p, < 100 for every i. , Show that there exists i and j with i m j such that p, divides p. Show that there exists i and j with i < j such that the consecutive sum p,+ p1++Pj divisible by 37. Suppose that p1, p2, ..., ps1 are all distinct and 1 < pi < 86 for every i. Show that ere exists i and j such that P - P - 16.

are 51 software students taking Let pi, p2,.. Psi be their final cam scores. Hence, cach p, is an integer and 1 < p, < 100 for every i. , Show that there exists i and j with i m j such that p, divides p. Show that there exists i and j with i < j such that the consecutive sum p,+ p1++Pj divisible by 37. Suppose that p1, p2, ..., ps1 are all distinct and 1 < pi < 86 for every i. Show that ere exists i and j such that P - P - 16.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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There are 51 software students taking MATH 211. Let p1, p2, .... ps1 be their final 4.( exam scores. Hence, each p; is an integer and 1 < p; < 100 for every i. `Show that there exists i and j with i j such that p; divides Pj- 4a.* 4b./ Show that there exists i and j with is j such that the consecutive sum p,+ Pi4 1++p; is divisible by 37. 4с. Suppose that p1, p2, ..., ps1 are all distinct and 1 < pi < 86 for every i. Show that there exists i and j such that pi - Pi - 16.
Transcribed Image Text:There are 51 software students taking MATH 211. Let p1, p2, .... ps1 be their final 4.( exam scores. Hence, each p; is an integer and 1 < p; < 100 for every i. `Show that there exists i and j with i j such that p; divides Pj- 4a.* 4b./ Show that there exists i and j with is j such that the consecutive sum p,+ Pi4 1++p; is divisible by 37. 4с. Suppose that p1, p2, ..., ps1 are all distinct and 1 < pi < 86 for every i. Show that there exists i and j such that pi - Pi - 16.
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