MathCastle
Grade 6SuperchallengeNegative Numbers

Negative Numbers · Superchallenge problem

The signs in this sum follow the repeating pattern plus, minus, minus, plus:

1−2−3+4+5−6−7+8+9−10−11+12+⋯1-2-3+4+5-6-7+8+9-10-11+12+\cdots

The sum continues this way up to and including the number 102102. What is the total?