TEST (90 MIN)
Chetki hadlarining yigindisi -49 ga, o’rta hadlarining yig’indisi 14 ga teng geometric progressiya hosil qiluvchi 4 ta sonni toping.
A)4,-16,30,-53 B)7,-14,28,-56 C)-4,16,-30,56 D)-7,14,-28,56
2.2x+2*4x-4=64x-1 bo’lsa , 3x nechiga teng?
A) 9 B)1 C)3 D) 1/3
3. Арифметик прогрессиянинг иккинчи ҳади –5
га,бешинчи ва саккизинчи ҳадларининг айир-
маси –6 га тенг.Шу прогрессиянинг нечанчи
ҳади 9 га тенг бўлади?
A) 4 B) 9 C) 10 D) 12 E) 13
4. tengsizlikning eng katta butun manfiy va eng kichik butun musbat yechimlari ko’paytmasini toping.
A)-2 B)2 C)4 D)-1
5. bo’lsa , x ni toping.
A)1 B)2 C)3 D)4
6. 1/4; -1/5; 1/6; -1/7,… ketma-ketlikning umimiy hadi formulasini ko’rsating.
A) B) C)
D)
7. 2x-3a(x+1)>5 a ning qanday qiymatlarida yechimga ega emas? A) 1 B)0,(6) C) D) (
8. a1;a2;a3,… va b1;b2;b3,… arifmetik progressiyalar uchun a100+b100=100 bo’lsin . a1+b2;a2+b2,… ketma-ketlikning dastlabgi 100 ta hadi yigindisini toping
A)100 B)10 C)0 D)1000
9.Gemetrik progressiya 10 ta haddan iborst bo’lib ,uning 1-hadi 4 ga ,10-hadi 1/128 ga teng. Shu progressiyaning oxirgi 5 ta hadi yigindisini toping.
A)29/128 B) 31/128 C) 33/128 D)35/128
10.x ning tenglamani qanoatlantiruvchi eng katta va eng kichik qiymatlari ayirmasini toping. x^2+8x+7=3^y (x, y
11. 49^x-8*7^x+7 tengsizlikni yechimini toping
A)[0;1] B)(0;1] C)(0;1) D)[0;1)
12.
A)[-1;9] B)[-3;3] C) (- D)(-∞;-1)
13.Arifmetik progressiyaning 3- hadi 5 ga , dastlabgi 10 ta hadi yig’indisi esa 175 ga teng bo’lsa , ushbu arifmetik progressiyaning 4- va 12- hadlari kvadratlari yig’indisini toping.
A)1600 B)3600 C)2600 D)1000
14.Arifmetik progressiya quyidagicha berilgan :14;9;4;…
Bu ketma-ketlikning 81-o’rnida turgan sonni toping.
A)-386 B)-391 C)-367 D)-381
15. tengsizlikni qanoatlantirmaydigan barcha butun sonlar yig’indisini toping.(bunda -1
A)25 B)26 C)27 D)28
16. 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5… kamaymaydigan sonlar ketma-ketligida har bir son o’zining qiymati necha bo’lsa, shuncha marta takrorlanadi. Bu ketma-ketlikda 2017-o’rinda turgan sonni toping.
A)65 B)62 C)63 D)64
17. a=1*2+2*3+3*4+…+42*43, b=5*4+10*6+15*8+…+210*86 bo’lsa, b/a ning qiymatini toping. A)10 B)6 C)12 D)8
18. tenglamaning ildizi 8 dan qancha kam ?
A)14 B)4 C)8 D)10
19. 110 soni 10,14,18… arifmetik progressiyaning nechanchi hadi
A)26 B)25 C)24 D)27
20. |a|<1, |b|<1 va a+ab+ab^2+ab^3+…=3/4 b+ba+ba^2+ba^3+…=2/3 bo’lsa , 12ab ning qiymatini toping.
A)12 B)6 C)3 D)2
21.Musbat hadli geometrik progressiyada S2=3; S3=7 bo’lsa S7 ni toping.
A)127 B)115 C)121 D)63
22. f(x)=0,7x , g(x)=0,8x, h(x)=0,9x bo’lsa , f(44), g(33), h(22) larni o’sish tartibida yozing .
A) f(44)
C)g(33)
23. Quyida berilgan ketma-ketliklardan qaysi biri arifmetik progressiya hisoblanadi ?
A)surati maxrajidan 1 ga kichik barcha tog’ri kasrlar ketma-ketligi
B)natural sonlarning kublaridan iborat ketma-ketlik
C)3 sonining darajalaridan iborat natural sonlar ketma-ketligi
D)3ga karrali bo’lgan barcha natural sonlar ketma-ketligi
24. (x^2+x)+(x^2+2x)+…+(x^2+19)=1425 tenglamani qanoatlantiruvchi x ni toping.
A)6 B)10 C)5 D)8
25. 1;8;27;64;125;… ketma-ketlikning 10-hadini toping.
A)1331 B)512 C)729 D)1000
26. 3 ga bo’lganda 1 qoldiq qoladigan dastlabgi 16 ta toq natural sonlar yigindisini toping.
A)832 B)735 C)916 D)736
27. Alpinist 1-kuni 800m balandlikka ko’tarildi.Qolgan kunlari oldingi kunga qaraganda 25m kam balandlikka ko’tarildi.U necha kunda 6300m balandlikka ko’tariladi?
A)8 B)9 C)7 D)10
28.F va bo’lsa,
f^2(x)-g^2(x) ni toping.
A)32 B)35 C)25 D)10
29.Cheksiz kamayuvchi geometrik progressiyaning hadlari yig’indisi 3ga , hadlari kublarining yig’indisi esa 81 ga teng bo’lsa, progressiyaning maxrajini toping.
A)-0,5 B)-2 C)-0,75 D)-2;-0,5
30. (2a+4*2b)/(2a-2*2b)=-7 bo’lsa, 2a-b ning qiymatini toping.
A)15 B)14 C)10 D)
31.M natural sonni 3 ga bo’lganda qoldiqda
Qoladi.a ning eng kichik qiymatini toping .
A)0 B)1 C)-2/3 D)-1/2
31.Berilgan tengsizlikdaning eng katta butun ildizini toping :
3x+1*21-x+3x*2-x<10,5
A)-2 B)0 C)-4 D)1
32. Tengsizlikni ishlang : 2x≤3-x
A) (-∞;1] B) (-∞;1]ᴗ(3;∞) C) (-∞;1) D) (-∞;2)
33. tengsizlikni yeching .
A)x B) {2} C) x Z D) (-
34.||x|-2|≤1 tengsizlikni yeching.
A)[1;3] B)[3;∞) C)(-∞;3]ᴗ[-1;1] D)[-3;-1]ᴗ[1;3]
35.Berilgan tengsizlik nechta butun ildizga ega :
7*5x-1-5x-2≤170 agar x≥3
A)1 B)2 C)4 D)10
36.3*16x+2*81x=5*36x tenglamani yeching
A)2 B)4 C)1/2 D)0;1/2
37. . b2b3b4=216 га тенг бўлган геометрик прог-
рессиянинг учинчи ҳадини топинг.
A) 12 B) 8 C) 4 D) 10 E) 6
38.Nechta tub son tengsizlikning yechimi bo’ladi?
|x2-2x|≤x A)1 B)2 C)3 D)0
39.|x-3|3x^2-10x+3=1 tenglamaning butun yechimlarini toping. A)2 va 4 B) 2 va -4 C)-2 va 4 D)-2 va -4
40. 2x+2+5x+2>5x+1+2x+3+2x+4 tengsizlikni yeching.
A)(0;1) B)(-1;∞) C)[-1;0) D) (0;∞)
Hammaga omad yor bo’lsin!!!1>
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