find the sum of all natural numbers b/w 1 and 200 which are multiples of 5
Question
find the sum of all natural numbers b/w 1 and 200 which are multiples of 5
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Mathematics
2 years
2021-06-22T03:19:29+00:00
2021-06-22T03:19:29+00:00 1 Answers
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Answer:
The natural numbers between 1 and 200 that are multiples of 5 are
5,10,15,195
We have a=5,d=10−5=5 and l=195
l=a+(n−1)d
195=5+(n−1)5
⇒195−5=5(n−1)
⇒n−1=5190=36
⇒n=36+1=37 terms
∴Sn=2n(a+l)
S37=237(5+195)
S37=237×200
S37=37×100=3700
∴ Sum of all natural numbers between 1 and 200 which are multiples of 5 is 3700