SOLUTION: 7. Find the sum of a) the positive multiples of 5 up to 500 b) the positive multiples of 7 up to 245

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Question 1187218: 7. Find the sum of
a) the positive multiples of 5 up to 500
b) the positive multiples of 7 up to 245

Answer by ikleyn(52790) About Me  (Show Source):
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7. Find the sum of
a) the positive multiples of 5 up to 500
b) the positive multiples of 7 up to 245
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(a)  S = 5 + 10 + 15 + . . . + 500 = 5*(1 + 2 + 3 + . . . + 100) = 5%2A%28%28100%2A101%29%2F2%29 = 5*50*101 = 25250.    ANSWER


     Use the formula of the sum of the first n natural numbers  1 + 2 + 3 + . . . + n = %28n%2A%28n%2B1%29%29%2F2.

Part (a) is just solved.


Do part (b) in the same way.