find the sum of all natural numbers which are multiples of 2 and 3 less than 301.
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Answer:
∑k=1nk=12n(n+1)
Step-by-step explanation:
The previously posted answer isn't correct. The statement of the problem is to sum the multiples of 3 and 5 below 1000, not up to and equal 1000. The correct answer is
∑k1=13333k1+∑k2=11995k2−∑k3=16615k3=166833+99500−33165=233168,
where we have the used the identity
∑k=1nk=12n(n+1).
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