Consecutive Proofs TN

 teachMathematics: Consecutive Proofs TN

In this investigation, students explore the sums of consecutive numbers and their divisors with the hope of discovering and proving that the sum of n consecutive numbers is divisible by n when n is odd. This is a gentle introduction for young students to the idea of proof! Using algebraic terms to represent unknown numbers and very simple algebraic manipulation, students see the power of algebra. It therefore provides...

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