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JustMe11111
a fost răspuns

stabiliti si justificati daca este adevarata afirmatia:
(-1)^n + (-1)^n+1 + (-1)^n+2+ (-1)^n+3 = (-1)^n * (-1)^n+1 * (-1)^n+2 * (-1)^n+3 * 0, oricare ar fi nr natural n. pleaseee


Răspuns :

Rezolvarea mai jos!!!
Vezi imaginea JolieJulie
Salut ,

(–1)ⁿ + (–1)ⁿ⁺¹ + (–1)ⁿ⁺² + (–1)ⁿ⁺³ = (–1)ⁿ [1 + (—1)¹ + (–1)² + (–1)³] = (–1)ⁿ · (1 – 1 + 1 – 1) = (–1)ⁿ · 0 = 0 si (–1)ⁿ · (–1)ⁿ⁺¹ · (–1)ⁿ⁺² · (–1)ⁿ⁺³ · 0 = 0 => afirmatia este adevarata.