Arifmetik progressiya bo’lishi uchun an+1=an

b_n=b₁ q^n-1
11. Geometrik progressiyaning dastlabki n ta hadi yig’indisi quyidagicha topiladi (maxraj q≠1 bo’lgan holatda):
S_n =
12. Maxrajining moduli birdan kichik bo’lgan geometrik progressiya cheksiz kamayuvchi geometrik progressiya deyiladi.
| q | < 1
13. Cheksiz kamayuvchi geometrik progressiyaning hadlari yig’indisini topish formulasi:
S =

Savollar:
1. Agar biror a₁, a₂, a₃,…., a_n ketma-ketlik arifmetik progressiya bo’lishi uchun qanday tenglik bajarilishi kerak? a) a_n=a₁+(n-1)d b) a_n+1=a_n+d c) a_n=a₁+nd
2. Arifmetik progressiyaning n- hadini topish formulasi qanday? a) a_n=a₁+(n-1)d b) a_n+1=a_n+d c) a_n=a₁+nd
3. Arifmetik progressiyaning ayirmasini topish formulasi qanday? a) d=a₁+(n-1)d b) a_n+1=a_n+d c) d = a_n+1 - a_n
4. Arifmetik progressiya dastlabki n ta hadining yig’indisini topish formulasi qanday? a) S_n= b) S_n = c) S_n= n
5. Agar biror b₁, b₂, b₃,…., b_n ketma-ketlik geometrik progressiya bo’lishi uchun qanday tenglik bajarilishi kerak? a) b_n+1=b_n-1 q b) a) b_n+1=b_n q
6. Geometrik progressiyaning n- hadini topish formulasini aniqlang. a) b_n=b₁ qⁿ b) b_n=b₁ q^n-1 c) b_n=b₁ qⁿ⁺¹

Savol raqami	1	2	3	4	5	6
To’g’ri javob
Ball

9-___ sinf o’quvchisi:______________________________________________ sana:_______________


Savollar:
1. Agar biror a₁, a₂, a₃,…., a_n ketma-ketlik arifmetik progressiya bo’lishi uchun qanday tenglik bajarilishi kerak? a) a_n=a₁+(n-1)d b) a_n+1=a_n+d c) a_n=a₁+nd
2. Arifmetik progressiyaning n- hadini topish formulasi qanday? a) a_n=a₁+(n-1)d b) a_n+1=a_n+d c) a_n=a₁+nd
3. Arifmetik progressiyaning ayirmasini topish formulasi qanday? a) d=a₁+(n-1)d b) a_n+1=a_n+d c) d = a_n+1 - a_n
4. Arifmetik progressiya dastlabki n ta hadining yig’indisini topish formulasi qanday? a) S_n= b) S_n = c) S_n= n
5. Agar biror b₁, b₂, b₃,…., b_n ketma-ketlik geometrik progressiya bo’lishi uchun qanday tenglik bajarilishi kerak? a) b_n+1=b_n-1 q b) a) b_n+1=b_n q
6. Geometrik progressiyaning n- hadini topish formulasini aniqlang. a) b_n=b₁ qⁿ b) b_n=b₁ q^n-1 c) b_n=b₁ qⁿ⁺¹

Savol raqami	1	2	3	4	5	6
To’g’ri javob
Ball

9-___ sinf o’quvchisi:______________________________________________ sana:_______________