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nnagababu726pb8ss4:
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multiples of 5 are 5,10,15,20,25.........so on
multiples of 5 btw 100 and 1000 are
105,110,115,120,..........990,995
Since the diff btw the consecutive terms is constant,this belongs to AP(arithmetic progression)
so,first term,a=105
last term,l=5
common difference,d=110-105=5
Lets first find no. of terms,n
an=a+(n-1)d an is nth term which is obviously the last term here=995 i.e. l
So lets just quickly put the values..
995=105+(n-1)5
995=105+5n-5
990=105+5n
895=5n
n=179
To find sum ,use the formula
Sn=n[2a+(n-1)d]/2
here n=179,a=105,d=5
=179[2(105)+(179-1)5]/2
=179(210+178×5)/2
=179(1100)/2
=98450 ans
so ur ans is 98450=sum
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