find the sum of integers between 1 and 200 that are divisible by 3 and 5.
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Answer:
The integers which are divisible by both 3 and 5
in between 1 and 200 are 15,30,45,60,.............195.
a=15 , d=15,
let 195 be nth term of the AP
an=a+(n-1)d
195=15+(n-1)15
195-15=(n-1)15
180/15=n-1
n-1=12
n=12+1
n=13
Sn=n/2[a+l]
S 13=13/2[15+195]
=13/2×210
=13×105
=1365
Sum of integers between 1-200 which are divisible by both 3 and 5 is 1365
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