Test (90 min)

TEST (90 MIN)

1. 
   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

2.2^x+2*4^x-4=64^x-1 bo’lsa , 3^x 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)=0,7^x , g(x)=0,8^x, h(x)=0,9^x 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. (2^a+4*2^b)/(2^a-2*2^b)=-7 bo’lsa, 2^a-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 :

3^x+1*2^1-x+3^x*2^-x<10,5

A)-2 B)0 C)-4 D)1

32. Tengsizlikni ishlang : 2^x≤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*5^x-1-5^x-2≤170 agar x≥3

A)1 B)2 C)4 D)10

36.3*16^x+2*81^x=5*36^x 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. 2^x+2+5^x+2>5^x+1+2^x+3+2^x+4 tengsizlikni yeching.

A)(0;1) B)(-1;∞) C)[-1;0) D) (0;∞)

Hammaga omad yor bo’lsin!!!