Asosiy kontent
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
© 2023 Khan AcademyFoydalanish shartlariMaxfiylik siyosatiCookie Notice
Arifmetik progressiyaning rekurrent formulasi
Arifmetik progressiyaning rekurrent formulasini qanday topishni oʻrganing. Masalan, 3,5,7... arifmetik progressiyaning rekurrent formulasini toping.
Bu darsni boshlashdan oldin arifmetik progressiyaga oid formulalar haqida maʼlumotga ega ekaningizga amin boʻling.
Rekursiv formula qanday ishlaydi
Rekursiv formula bizga ikkita qism haqida maʼlumot beradi:
- Progressiyaning birinchi hadi
- Oldingi haddan foydalanib progressiyaning ixtiyoriy hadini topish uchun namuna
Quyida 3, 5, 7, ... progressiya uchun rekursiv formula keltirilgan.
Formulada n - ixtiyoriy had raqami va a, left parenthesis, n, right parenthesis - n, start text, negative, end texthaddir. Yaʼni a, left parenthesis, 1, right parenthesis - birinchi had va a, left parenthesis, n, minus, 1, right parenthesis - n, start text, negative, end texthaddan oldingi haddir.
Masalan, beshinchi hadni topish uchun biz progressiyani had bo‘yicha kengaytiramiz:
a, left parenthesis, n, right parenthesis | equals, a, left parenthesis, n, minus, 1, right parenthesis, plus, 2 | |||
---|---|---|---|---|
a, left parenthesis, 1, right parenthesis | equals, start color #0d923f, 3, end color #0d923f | |||
a, left parenthesis, 2, right parenthesis | equals, a, left parenthesis, 1, right parenthesis, plus, 2 | equals, start color #0d923f, 3, end color #0d923f, plus, 2 | equals, start color #aa87ff, 5, end color #aa87ff | |
a, left parenthesis, 3, right parenthesis | equals, a, left parenthesis, 2, right parenthesis, plus, 2 | equals, start color #aa87ff, 5, end color #aa87ff, plus, 2 | equals, start color #11accd, 7, end color #11accd | |
a, left parenthesis, 4, right parenthesis | equals, a, left parenthesis, 3, right parenthesis, plus, 2 | equals, start color #11accd, 7, end color #11accd, plus, 2 | equals, start color #e07d10, 9, end color #e07d10 | |
a, left parenthesis, 5, right parenthesis | equals, a, left parenthesis, 4, right parenthesis, plus, 2 | equals, start color #e07d10, 9, end color #e07d10, plus, 2 | equals, 11 |
Qoyil! Bu formula bizga 3, 5, 7, ... kabi progressiyani berdi.
Tushunganingizni tekshiring
Rekursiv formulani yozish
5, comma, 8, comma, 11, comma, point, point, point arifmetik progressiyaning rekursiv formulasini yozishimiz kerak boʻlsin.
Formulaning ikkala qismi bizga quyidagi maʼlumotlarni berishi kerak:
- Birinchi had left parenthesisyaʼni start color #0d923f, 5, end color #0d923f, right parenthesis
- Oldingi haddan foydalanib ixtiyoriy hadni topish namunasi left parenthesisyaʼni "start color #ed5fa6, 3, end color #ed5fa6 ni qoʻshish"right parenthesis
Demak, rekursiv formula quyidagicha boʻlishi kerak:
Tushunganingizni tekshiring
Sinov savoli
Muhokamaga qoʻshilmoqchimisiz?
Hozircha izohlar yoʻq.