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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Margaret 2 years 2021-06-22T03:19:29+00:00 1 Answers 0 views 0

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    2021-06-22T03:20:48+00:00

    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

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