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прогресс1
- 1.
Арифметик<br /> ба геометр <br /> прогресс<br /> d>0 бол өсдөг <br /> d<0 бол буурдаг <br /> d=0 бол тогтмол<br />an=a1+(n-1)∙d<br />an+1=an+an+22<br />Sn=(a1+an)2∙n<br /> <br /> d=an+1-an<br /> Өсөх геометр прогресс<br /> b1>0 q>1<br /> b1<0 0<q<1<br />Буурах геометр прогресс<br /> b1>0 0<q<1<br /> b1<0 q>1<br />q = bn+1bn<br />bn=b1∙qn-1<br />bk=bk-1∙bk+1 <br /> <br />Sn=b1∙(qn-1)q-1<br /> Sn=b1∙(1-qn)1-q<br />Sn=bn+1-b1q-1<br /> Sn=b1-bn+11-q<br />