find the sum of all integers between 84 and 790 which are multiple of 5
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integers between 84 and 720 which are multiple of 5
85,90,95,100,105,110,115,120,125,130,135,140,145,150,155,
160,165,170,175,180,185,190,200,205,210,215,220,225,230,235,240,245,250........and so on u can calculate
85,90,95,100,105,110,115,120,125,130,135,140,145,150,155,
160,165,170,175,180,185,190,200,205,210,215,220,225,230,235,240,245,250........and so on u can calculate
astha1238:
thanks
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solution:
By Ap:
Ap: 85,90,95....790
a=85
d=5
now total terms :
tn=a+(n-1)d=790
=>85+(n-1)5=790
=>(n-1)5=705
=>n-1=141
=>n=142
now, sum of all 142 terms of these Ap:
Sn=>n/2{2a+(n-1)d}
=>142/2{2×85+(142-1)5}
=>71{170+705}
=>62125
sum=62125
By Ap:
Ap: 85,90,95....790
a=85
d=5
now total terms :
tn=a+(n-1)d=790
=>85+(n-1)5=790
=>(n-1)5=705
=>n-1=141
=>n=142
now, sum of all 142 terms of these Ap:
Sn=>n/2{2a+(n-1)d}
=>142/2{2×85+(142-1)5}
=>71{170+705}
=>62125
sum=62125
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