1-guruh
Rejalashtiririlgan masalalar soni har bir kunga quyidagicha o'zgarib boradi:
1-kun 2-kun 3-kun 4-kun ............
5 ta 10 ta 15 ta 20 ta ............
natijada quyidagi ketma ketlik hosil boldi
5,10,15,20,25........
savol bu qnday progressiya,ayirma nechaga teng?
Bu arifmetik progressiya.ayirmasi ya'ni d=5 ga
3,6,12,24,48,....... bu qanday progressiya,mahrajini toping?
Bu geometrik progressiya
q=6/3=2 maxraji 2 ga teng
25,21,17,.......arifmetik progressiyaning birinchi hadi va ayirmasini ayting.
Birinchi hadi 25 ga teng.
ayirmasi ya'ni d=17-25 -4 -4 ga teng
8,16,24....... geometrik progressiyaning birinchi hadi va mahrajini toping?
Birinchi hadi 8 ga teng.
q=b1:b2=16:8=2 2 ga teng
Arifmetik progressiyada ayirmani topish formulasini ayting?
d=a2-a1
Hisoblang: 2*2*2*2*2*2*2*2*2*2
2 ning 10 darajasi ya'ni 1024 ga teng
geometrik progressiyada maxraj qanday topiladi?
q=b2:b1
Hisoblang:3*3*3*3*-31+5*5*5
175
Hisoblang:a1=2 ,d=3 bo'lsa, a15 ni toping?
a15=a1+ 14d
a15=2+14*3
a15=2+28
a15=30
Hisoblang:agar a1=3, d=4 bo'lsa, a20 ni toping?
a20=a1+ 19d
a20=3+19*4
a20=3+76
a20=79
Hisoblang:a1=7, a16=67 bo'lsa,uning ayirmasini toping?
d=a16-a1
15d=67-7
15d=60
d=4
Hisoblang: a1=-4, a9=0 bo'lsa ,uning ayirmasini toping?
d=a9-a1
8d=0-(-4)
8d=4
d=2
Agar geometrik progressiyada: b1=12, q=2 bo'lsa ,dastlapki 5 ha hadini ayting
12,24,48,96,192
Agar geometrik progressiyada: b1=-3, q=-4 bo'lsa ,uning dastlapki 4 ta hadini ayting.bu qanday progressiya turiga kiradi?
-3,12,-48,192
Geometrik progressiya : b1=3, q=10 bo'lsa,b4 ni hisoblang
b4=b1*q^3
b4=3*10^3
b4=3*1000
b4=3000
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Geometrik progressiyada
6,12,24,.........,192
---- tagiga chizilgan hadning nomerini toping
b1=6, b2=12, bn=192
q=b2:b1=12:6=2 q=2
192=6*2^n-1
192/6=2^n-1
32=2^n-1
2^5=2^n-1
5=n-1
n=6
Cheksiz kamayuvchi geometrik progresiyani yig'indisini topih formulasini ayting(yozib ko'rsating)
S=b1/1q
geometrik progresiyani dastlapki n ta hadini yig'indisii topish formulasini aytin(yozib ko'rsating)
Sn=b1(1-q^n)/1-q
Arifmetik progressiyani dastlapki n ta hadini yig'indisini topish formulasini ayting(yozib ko'rsating)
Sn=a1+an/2 *n