Математик индукц Март The document contains three mathematical proofs:
1. Using induction, it is proven that for any natural number n, the sum 2 + 4 + 6 + ... + 2n is equal to n(n+1).
2. Also by induction, it is shown that the sum 1/(3*5) + 1/(5*7) + ... + 1/(2n+1)(2n+3) equals n/(3(2n+3)) for any natural n.
3. Finally, induction is used to prove that for any natural number n, the expression 8n + 6 is divisible by 7.
Математик индукц Март The document contains three mathematical proofs:
1. Using induction, it is proven that for any natural number n, the sum 2 + 4 + 6 + ... + 2n is equal to n(n+1).
2. Also by induction, it is shown that the sum 1/(3*5) + 1/(5*7) + ... + 1/(2n+1)(2n+3) equals n/(3(2n+3)) for any natural n.
3. Finally, induction is used to prove that for any natural number n, the expression 8n + 6 is divisible by 7.