Arifmetik va Geometrik progressiyalar Arifmetik progressiyada d=6, n=40, a

Arifmetik va Geometrik progressiyalar
1. Arifmetik progressiyada d=6, n=40, a_n=254 bo’lsa, a₂ ni toping.
A)40 B)26 C)20 D) 10
2. 77,74,71,68 arifmetik progressiyada 17 nechanchi nomerli hadi?
A)20 B)21 C)19 D)16
3.a_n=10-2n formula bilan berilgan arifmetik progrwssiyaning dastlabki 10 ta hadini yig’indisini toping.
A)-12 B)0 C)-10 D) aniqlab bo’lmaydi.
4.80, 76, 72…. Progressiyaning nechanchi hadidan manfiy qiymati boshlanadi?
A)21 B)6 C)12 D)22
5.Quidagi berilganlardan (a_n) qaysilari arifmetik progressiyani tashkil qila oladi?
1. a_n=9-3n 2. a_n=4+2n 3.a_n=1+7n 4. a_n=7n-8
A)2,3,4 B)2,3 C)1,2,3,4, D)1,2,3
6.a₁=4 d=2 bo’lsa, S₂₀₀ ni toping.
A)40600 B)40060 C)78600 D)12300
7.a₃+a₈=-18б a₇-a₉=-28 bo’lsa, a₁ni toping.
A)1 B)20 C)7 D)0
8.S₆=72 va d=2 bo’lsa, a₂₀ni toping.
A)45 B)15 C)35 D)40
9.a₄+a₂₀=200 bo’lsa, S₂₃ ni toping.
A)2100 B)2300 C)3200 D)6788
10.10 ta hadli arifmetik progressiyaning dastlabki 8ta hadining yig;indisi 100 ga dastlabki 10ta hadiniki 108 ga teng bo’lsa, a₉+a₁₀ ni toping.
A)8 B)3 C)4 D)12
11.Quidagi ketma-ketliklardan qaysi biri arifmetik progressiyani tashkil etmaydi.
A)2,4,6,8,10,12, B)0,7,14,21,28 C)3,-3,-6,-9,-12 D)m+1;2m+3; 3m+5;4m+7
12. S_n=248 d=8, a₃=19 bo’lsa, a_n ni toping.
A)25 B)65 C)70 D)59
13.a₁+a₃=6 bo’lsa, a₂²=?
A)4 B)9 C)0 D)16
14.3^2x-5=729 tenglamani ildizi 15dan necha marta kichik?
A)2 B)3 C)9 D)6
15.3^x-4 3^x+1-39=0 tenglani yeching..
A)12 B)2 C)1 D)4
16.b₂=12, q=3 bo’lsa, b₄ ni toping.
A)234 B)0 C)108 D)98
17. bo’lsa, b₁ ni toping.
A)3 B)3 C)5 D)4
18. Geometrik progressiyada S₄=40 S₅=121 bo’lsa, b₅ ni toping.
A)81 B)120 C)40 D)Aniqlab bo’lmaydi.
19.S=12 va toq hadlari yig’indisi 9 bo’lgan geometrik grogressiyaning maxrajini toping.
A)0,2 B)1/3 C)1/2 D)1/6
20.q=0,2 S=5 bo’lgan geometric progressiyadaning juft hadlari yig’indisini toping.
A)25/6 B)50/6 C)45 D)90
21.q=1/3 b₁=2 bo’lgan geometrik progressiyadaning barcha hadlarining kvadratlari yigindisini toping.
A)4 B)5 C)4,5 C)2,25
22.Quidagi berilganlardan nechtasi cheksiz kamayuvchi geometrik progressiyani tashkil etmaydi?
1) 2,3,4,5,6… 2)8;4;2;0,5…. 3)-3;1/3; -1/9; 1/27…… 4)10;20;40;80…. 5)16; -4;1;1/4
A)2 B)4 C)3 D)5
23.3;6;12…. Geometric progressiyada 768 nechanchi hadi bo’ladi?
A)8 B)7 C)6 D)9
24.b₁b₂b₃=64 bo’lsa b₂ni toping.
A)2 B)4 C)8 D)5
25.b₁=0,176 q=5 bolsa, ushbu progressiyaning eng kichik butun hadini nomwrini toping.
A)4 B)5 C)3 D)7
26.b₂b₃b₄=216 b₃=?
A)-6 B)4 C)8 D)6
27. 27^X+4-25^2x+8=0