Subjects algebra

Ketma Ket Yigindi

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1. Muammo: 25 ta ketma-ket natural sonning yig'indisi 1000 ga teng. Bu sonlarning eng kichigi nechaga teng? 2. Ketma-ket sonlar: $x, x+1, x+2, \dots, x+24$. Yig'indisi: $$\sum_{k=0}^{24} (x+k) = 25x + \frac{24 \cdot 25}{2} = 25x + 300.$$ 3. Tenglama: $$25x + 300 = 1000.$$ 4. Hisoblash: $$25x = 700 \Rightarrow x = \frac{700}{25} = 28.$$ 5. Javob: Eng kichik son $28$ ga teng. Natija: B) 28