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Pre-AlgebraSuperchallenge

Pre-Algebra · Superchallenge problem

Evaluate 12+22−32−42+52+62−72−82+⋯+972+982−992−10021^2+2^2-3^2-4^2+5^2+6^2-7^2-8^2+\cdots+97^2+98^2-99^2-100^2, where the signs repeat in the pattern +,+,−,−+,+,-,-.

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