find the sum of all multiples of 3 , lying between 200 amd 300
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Series is(A.P):-
201+204+207+................+300(MULIPLES OF 3)
here, tn(also known as An)=300
So; as we know that,
tn=a+(n-1)d
300=201+(n-1)3
300-201=(n-1)3
99/3=n-1
33+1=n
n=34
therefore,
Sn=n/2(t1+tn)
S34=34/2(201+300)
S34=17(501)
S34=8517
201+204+207+................+300(MULIPLES OF 3)
here, tn(also known as An)=300
So; as we know that,
tn=a+(n-1)d
300=201+(n-1)3
300-201=(n-1)3
99/3=n-1
33+1=n
n=34
therefore,
Sn=n/2(t1+tn)
S34=34/2(201+300)
S34=17(501)
S34=8517
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