Math, asked by astha1238, 1 year ago

find the sum of all integers between 84 and 790 which are multiple of 5

Answers

Answered by khushivedant157
3
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

astha1238: thanks
khushivedant157: sry i think so my answer is wrong by comparing
khushivedant157: i m the student of 9grade i was not known with the method
astha1238: yeah you are right this your answer is wrong this question is solved by the method of AP and the formula is used equal to S n and it is the question of class 11th orl 10th
Answered by NishantMishra3
3
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

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