Find the sum of all natural numbers divisible by
5, from 150 to 200.
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Answer:
The sum is 1225
Solution :
The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196
Here, a=154,d=7 and tn=196
tn=a+(n−1)d …(Formula )
∴196=154+(n−1)×7 …(Substituting the values )
∴196−154=(n−1)×7
∴427=n−1 ∴n−1=6 ∴n=7
Now, we find the sum of 7 numbers.
Sn=n2[t1+tn] ...(Formula )
=72[154+196)
=72×350
=7×175
=1225
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