Test(Progressiya) Arifmetik progressiyada

Test(Progressiya)

1. 
   Arifmetik progressiyada a₂ = 12 va a₅ = 3. Shu progressiyaning o’ninchi hadini toping.
   A) −6 B) 0 C) −12 D) −30 E) −15
   
2. 
   Birinchi hadi 1 ga, o’n birinchi hadi 13 ga teng bo’lgan arifmetik progressiyaning oltinchi hadini toping.
   A) 4 B) 5 C) 6 D) 7 E) 8
   
3. 
   Ikkinchi, to’rtinchi va oltinchi hadlarining yig’indisi −18 ga teng arifmetik progressiyaning to’rtinchi hadini toping.
   A) 6 B) −5 C) −6 D) −4 E) 5
   
4. 
   O’suvchi geometrik progressiyaning dastlabki uchta hadining yig’indisi 24 ga teng. Shu progressiyaning ikkinchi hadini toping.
   A) 8 B) aniqlab bo’lmaydi C) 10 D) 6 E) 7
   
5. 
   Arifmetik progressiyada a₂ = 10 va a₅ = 22. Shu progressiyaning dastlabki sakkizta hadining yig’indisini toping. A) 162 B) 170 C) 115 D) 160 E) 156
   
6. 
   100 dan katta bo’lmagan 4 ga karrali barcha natural sonlarning yig’indisini toping.
   A) 1250 B) 1300 C) 1120 D) 1000 E) 1296
   
7. 
   Tenglikni qanoatlantiruvchi natural sonN ni toping.
   

8. 
   Arifmetik progressiyaning dastlabki 13 ta hadi yig’indisi 104 ga teng. Yettinchi hadining kvadratini toping.
   

1. 
   25 B) 36 C) 49 D) 64 E) 81
   

9. 
   1 dan 75 gacha bo’lgan toq sonlar yig’indisi qanday raqam bilan tugaydi?
   A) 0 B) 2 C) 3 D) 4 E) 8
   
10. 
    Arifmetik progressiya hadlari uchun a₁ + a₃ + · · · + a₂₁ = a₂ + a₄ + · · · + a₂₀ + 15 tenglik o’rinli bo’lsa, a₁₁ ni toping.
    A) 11 B) 13 C) 15 D) 17 E) 19
    
11. 
    64; 32; 16; ... geometrik progressiyaning to’qqizinchi hadi oltinchi hadidan nechtaga kam?
    A)1,025 B) 1,5 C) 1,25 D) 1,75 E) 1,85
    
12. 
    Geometrik progressiyada b₂·b₃·b₄ = 216 bo’lsa, uning uchinchi hadini toping.
    A) 12 B) 8 C) 4 D) 10 E) 6
    
13. 
    Barcha hadlari musbat bo’lgan geometric progressiyaning birinchi hadi 2 ga, beshinchi hadi 18 ga teng. Shu progressiyaning beshinchi va uchinchi hadlari ayirmasini toping.
    A) 10 B) 12 C) 8 D) 11 E) 9
    
14. 
    Geometrik progrogressiyaning maxraji 3 ga, dastlabki to’rta hadining yig’indisi 80 ga
    teng. Birinchi hadining qiymatini toping.
    A) 1 B) 2 C) 3 D) 4 E) 2,5
    
15. 
    Cheksiz kamayuvchi geometrik progressiyaning hadlari yig’indisi 9 ga, maxraji esa 1 3 ga teng. Uning birinchi hamda uchinchi hadlari ayirmasini toping.