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a fost răspuns

Efectuati :
[tex](......(((2+2)*2+2^3)*2+2^5)*2+............+2^{2001})*2+2^{2003}[/tex]

Răspuns :

Getatotan
(2 +2) ·2 + 2³  = 2²·2¹ + 2³ = 2³ + 2³ = 2¹·2³  = 2⁴
2⁴ 2 + 2⁵ =2⁵ + 2⁵ =2⁵2¹=2⁶
2⁶2¹ + 2⁷ =2⁷ + 2⁷ =2⁷2¹=2⁸
..........
2²⁰⁰⁰·2¹ + 2²⁰⁰¹ =2²⁰⁰⁰⁺¹ + 2²⁰⁰¹ =2²⁰⁰¹ + 2²⁰⁰¹ = 2²⁰⁰¹·2¹ =2²⁰⁰¹⁺¹ =2²⁰⁰²
2²⁰⁰² ·2¹ + 2²⁰⁰³ = 2²⁰⁰³ + 2²⁰⁰³ = 2²⁰⁰³ ·2¹ =2²⁰⁰³⁺¹ = 2²⁰⁰⁴

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