Uzbek language is being added

README.md

@@ -9,6 +9,7 @@ Popular algorithms explained in simple language with examples and links to their
 
 ## Languages
 
+- [Uzbek](./uz)
 - [Brazilian Portuguese](./pt-br)
 - [English](./en)
 - [French](./fr)

uz/Boshlang'ich Matematika/Arifmetik progressiya.md

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+# Arifmetik Progressiya
+
+**Arifmetik progressiya** – ikkinchisidan boshlab har bir son oʻzidan oldingi songa shu qator uchun oʻzgarmas bir son **d** (progressiya ayirmasi)ni qoʻshishdan hosil boʻladigan sonlar qatori.
+Masalan, 2, 4, 6, 8, 10 sonlar qatori Arifmetik progressiyadir. Chunki, bu qatordagi har bir son oldingisidan bir xilga, 2ga farq qiladi.
+<p align="center">
+    <img width="60%" src="https://user-images.githubusercontent.com/75872316/122635132-ce38d100-d0ff-11eb-8fdf-2e14a9f640cc.png">
+</p>
+
+**Arifmetik Progressiyada:**
+
+1. Arifmetik Progressiyaning birinchi elementi uning `birinchi hadi` deyiladi.
+2. hadlari orasidagi farqi esa Arifmetik Progressiyaning `ayirmasi` deyiladi.
+3. Arifmetik Progressiyaning o'suvchi yoki kamayuvchi bo'lishini uning `ayirmasi` ifodalayadi. Agar Arifmetik Progressiya `ayirmasi` musbat bo'lsa (`d>0`), `o'suvchi` agarda manfiy bo'lsa (`d<0`), kamayuvchi bo'ladi.
+
+**Arifmetik Progressiyaning `n`chi hadini topish:**
+
+a<sub>1</sub> - birinchi hadi va `d` esa arifmetik progressiya ayirmasi. Shulardan kelib chiqqan holatda umumiy formula quyidagicha bo'ladi:
+<p align="center">
+    <img width="60%" src="https://user-images.githubusercontent.com/75872316/122635193-25d73c80-d100-11eb-9015-344d36633704.png">
+</p>
+
+**Arifmetik Progressiyaning birinchi `n`ta hadini yig'indisini topish:**
+
+<p align="center">
+    <img width="60%" src="https://user-images.githubusercontent.com/75872316/122635260-7a7ab780-d100-11eb-82a5-8ceeba3aff03.png">
+</p>
+
+**Arifmetik Progressiyaga oid masalalarni yechishni umumiy formulalari:**
+
+ Agar a<sub>1</sub> - birinchi xadi va uning ayirmasi - `d` bo'lsa:
+- **a<sub>n</sub>** = a<sub>1</sub> + (n-1)*d.
+- **Arifmetik o'rtanchasini topish:** S<sub>n</sub> / n.
+- **Dastlabki `n`tasini yig'indisi** `S = 0.5 n [ 2a + (n-1) d ]`.
+
+# Manba
+
+- [Arifmetik Progressiya](https://uz.khanacademy.org/math/algebra/sequences/introduction-to-arithmetic-squences/a/using-formulas-of-arithmetic-sequences)
+
+# YouTube
+
+- [Video materialga bog'ich](https://youtu.be/UVDpqDlBhyE)

uz/Boshlang'ich Matematika/Fibonachi sonlari.md

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+# Fibonachi sonlari
+
+Matematikada Fibonachi sonlari deb nomlanadigan sonlar qatori mavjud bo'lib, bu sonlar qatorida har bir son o'zidan
+avval kelgan ikkitda ketma-ket sonlarning yig'indisidan iboratdir. Fibonachi sonlar qatorining birinchi va ikkinchi
+hadlari mos ravishda 0 va 1ga tengdir. Quyidagi qator ham Fibonachi qatori hisoblanadi:
+`[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...]`
+
+## Foydalanish
+
+Biz Fibonachi sonlar qatorini asosan kompyterlarda qidirish algorithmi sifatida ko'rishimiz mumkin. Bundan tashqari bu
+qatorni bir hayotimizning quyidagi jabhalarida uchratib turishimiz mumkin:
+
+- Daraxt barglarining o'zagida va daraxt shoxlarida uchratib turishimiz mumkin.
+
+Hozirgi kunda Fibonachi sonlar qatori va Oltin nisbatga fizika, kvant mehanikasi va kriptografiya sohasida izlanish olib
+boruvchilar tomonidan katta qiziqishlar bildirilmoqda.
+
+## Namuna
+
+Fibonachi sonlarning 8chi hadini topishni ko'rib chiqamiz:
+
+
+1-had | `f1 = 0` 
+
+2-had | `f2 = 1 `
+
+3-had | `f3 = f1+f2`=1
+
+4-had | `f4 = f2+f3`=2
+
+5-had | `f5 = f3+f4`=3
+
+6-had | `f6 = f4+f5`=5
+
+7-had | `f7 = f5+f6`=8
+
+8-had | `f8 = f6+f7`=13
+
+f(8)=21
+
+## Fibonachi algoritmning dasturlash tillaridagi ko'rinishi:
+
+- [C++](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fibonacci.cpp)
+- [Java](https://github.com/TheAlgorithms/Java/blob/master/Maths/FibonacciNumber.java)
+- [Javascript](https://github.com/TheAlgorithms/Javascript/blob/80c2dc85d714f73783f133964d6acd9b5625ddd9/Maths/Fibonacci.js)
+- [Python](https://github.com/TheAlgorithms/Python/blob/master/maths/fibonacci.py)
+
+## Video bog'ich
+
+- [Youtube](https://youtu.be/FQiRf4jb3PU)
+
+## Boshqa manbalar
+
+- [Wikipedia](https://uz.wikipedia.org/wiki/Fibonachchi_sonlari)