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OMK 2018 Sulong, Section A Problem 5

Source: OMK 2018 Sulong, Section A Problem 5

June 21, 2021
number theorycontestsPerfect Squaresdifference of squares

Problem Statement

Determine the value of (101×99)(101 \times 99) - (102×98)(102 \times 98) + (103×97)(103 \times 97) − (104×96)(104 \times 96) + ... ... + (149×51)(149 \times 51) − (150×50)(150 \times 50).
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