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4a. Show that there exists i and j with i + j such that p, divides Pj- 4b. is divisible by 37. Show that there exists i and j with i < j such that the consecutive sum p,+ Pis1++P,

4a. Show that there exists i and j with i + j such that p, divides Pj- 4b. is divisible by 37. Show that there exists i and j with i < j such that the consecutive sum p,+ Pis1++P,

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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4. There are 51 software students taking MATH 211. Let p1, p2,... psi be their final 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- 4а. 4b. Show that there exists i and j with i < j such that the consecutive sum p,+Pi+1++P; is divisible by 37. 4с. Suppose that P1. P2, ..., Psi are all distinct and 1 < p < 86 for every i. Show that there exists i and j such that p, - P;- 16.
Transcribed Image Text:4. There are 51 software students taking MATH 211. Let p1, p2,... psi be their final 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- 4а. 4b. Show that there exists i and j with i < j such that the consecutive sum p,+Pi+1++P; is divisible by 37. 4с. Suppose that P1. P2, ..., Psi are all distinct and 1 < p < 86 for every i. Show that there exists i and j such that p, - P;- 16.
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