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a fost răspuns

pls dau funda 2a+1este patrat perfect a=1+3+3la puterea a 2+...................................................................+3la 1995

Răspuns :

Renatemambouko
a=1+3+3²+..........+3¹⁹⁹⁵   inmultim cu 3
3a=3+3²+..........+3¹⁹⁹⁵+3¹⁹⁹⁶ +1-1
3a=1+3+3²+..........+3¹⁹⁹⁵+3¹⁹⁹⁶ -1
3a=a+3¹⁹⁹⁶ -1
2a=3¹⁹⁹⁶ -1
a=(3¹⁹⁹⁶ -1)/2

2a+1=2×(3¹⁹⁹⁶ -1)/2+1=3¹⁹⁹⁶ -1+1=3¹⁹⁹⁶=(3⁹⁹⁸)²  deci patrat perfect

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