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Ex 21 plsss. Dau 30 de puncte

Ex 21 Plsss Dau 30 De Puncte class=

Răspuns :

Răspuns:

1+2+2²+2³+...... +2ⁿ =2ⁿ⁺¹-1  -formula folosita

(2013⁰+1+2+2²+2³+...... +2¹⁰⁰)·x=2¹⁰¹

1+2+2²+2³+...... +2¹⁰⁰=2¹⁰¹-1

2013⁰=1

(1+2¹⁰¹-1)·x=2¹⁰¹

2¹⁰¹·x=2¹⁰¹=>x=2¹⁰¹:2¹⁰¹=> x=1