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Algebra I
Course: Algebra I > Unit 8
Lesson 2: Arifmetik progressiyalarni qurish- Arifmetik progressiyaning rekurrent formulasi
- Arifmetik progressiyaning rekurrent formulasi
- Arifmetik progressiyaning rekurrent formulasi
- Arifmetik progressiyaning aniq formulasi
- Arifmetik progressiyaning aniq formulasi
- Arifmetik progressiyaning aniq formulasi
- Arifmetik progressiyaga oid masala
- Geometrik progressiyaning rekurrent & aniq formulalarini bir-biriga oʻtkazish
- Geometrik progressiyaning rekurrent & aniq formulalarini bir-biriga oʻtkazish
- Geometrik progressiyaning rekurrent & aniq formulalarini bir-biriga oʻtkazish
- Arifmetik progressiyani takrorlash
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Arifmetik progressiyani takrorlash
Arifmetik progressiyani takrorlang va unga oid masalalarni yeching.
Arifmetik progressiya qismlari va formulalari
Arifmetik progressiyada ketma-ket hadlar orasidagi farq doim bir xildir. Biz uni progressiya ayirmasi deb ataymiz.
Masalan, quyidagi progressiyaning ayirmasi plus, 2 ga teng:
start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6 | |||||
---|---|---|---|---|---|---|---|
3, comma | 5, comma | 7, comma | 9, comma, point, point, point |
Arifmetik progressiya formulalari yordamida a, left parenthesis, n, right parenthesis va progressiyaning n, start text, negative, end texthadini topishimiz mumkin.
Quyidagi arifmetik progressiyaning oshkor formulasidir. Bunda birinchi had start color #11accd, k, end color #11accd va progressiya ayirmasi start color #ed5fa6, d, end color #ed5fa6 ga teng.
Bu yuqoridagi progressiyaning rekursiv formulasi:
Arifmetik progressiya haqida koʻproq maʼlumotga ega boʻlmoqchimisiz? Unda ushbu videoni koʻring.
Arifmetik progressiyani kengaytirish
3, comma, 8, comma, 13, comma, point, point, point progressiyani kengaytirishimiz kerak boʻlsin. Koʻrinib turibdiki, har bir had oldingisidan start color #ed5fa6, plus, 5, end color #ed5fa6 ga farq qiladi:
start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | |||||
---|---|---|---|---|---|---|---|
3, comma | 8, comma | 13, comma, point, point, point |
Keyingi hadni topish uchun qoʻshishimiz kerak boʻlgan farq 18 ga teng:
start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | start color #ed5fa6, plus, 5, \curvearrowright, end color #ed5fa6 | |||||
---|---|---|---|---|---|---|---|
3, comma | 8, comma | 13, comma | 18, comma, point, point, point |
Shunga oʻxshash masalalarni yechmoqchimisiz? Ushbu mashqni koʻring.
Rekursiv formulani yozish
3, comma, 8, comma, 13, comma, point, point, pointning rekursiv formulasini yozishimiz kerak boʻlsin. Biz bilamizki, progressiya ayirmasi start color #ed5fa6, plus, 5, end color #ed5fa6 ga teng. Bundan tashqari, birinchi had start color #11accd, 3, end color #11accd ga teng. Demak, bu quyidagi progressiya uchun rekursiv formuladir:
Shunga oʻxshash masalalarni yechmoqchimisiz? Ushbu mashqni koʻring.
Oshkor formulani yozish
3, comma, 8, comma, 13, comma, point, point, point uchun oshkor formulani yozish kerak boʻlsin. Progressiya ayirmasi start color #ed5fa6, plus, 5, end color #ed5fa6 va birinchi had start color #11accd, 3, end color #11accd ga tengligi bizga maʼlum. Demak, progressiyaning oshkor formulasi quyidagicha boʻladi:
Shunga oʻxshash masalalarni yechmoqchimisiz? Ushbu mashqni koʻring.
Muhokamaga qoʻshilmoqchimisiz?
Hozircha izohlar yoʻq.