Question

BUNĂ! Am si eu nevoie de rezolvarea acestui exercițiu pentru ca nu am idee cum sa il fac si as cam vrea sa avansez in exercițiile de genul asta. Mulțumesc !​

Answer 1

Răspuns:

Explicație pas cu pas:

1/1*2 = 1/1 - 1/2

1/2*3 = 1/2 - 1/3

.........

1/24*25 = 1/24 - 1/25

1/1*2 + 1/2*3 + ... + 1/24*25 = 1/1 - 1/2 + 1/2 - 1/3 +...+ 1/24 - 1/25 = 1/1 - 1/25 = 25/25 - 1/25 = 24/25

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1/25*26 = 1/25 - 1/26

1/26*27 = 1/26 - 1/27

.............

1/49*50 = 1/49 - 1/50

1/25*26 + 1/26*27 + ...+ 1/49*50 = 1/25 - 1/26 + 1/26 - 1/27 + ...+ 1/49 - 1/50

= 1/25 - 1/50 = 2/50 - 1/50 = 1/50

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24/25 - 1/50 = 48/50 - 1/50 = 47/50

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1/94*47/50 = 1/100

x = √1/100 = 1/10 numar rational